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Finding the Fourth Proportional to 3,843,642.96, 5,731,563.62 and 3,809,039.49

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Solution

The fourth proportional to 3,843,642.96, 5,731,563.62 and 3,809,039.49 is: 5,679,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843,642.96 : 5,731,563.62 = 3,809,039.49 : x
  2. Step 2: Convert to fraction form
    3,843,642.96/5,731,563.62 = 3,809,039.49/x
  3. Step 3: Cross multiply
    3,843,642.96x = 5,731,563.62 × 3,809,039.49
  4. Step 4: Simplify right side
    3,843,642.96x = 21,831,752,168,027.36
  5. Step 5: Solve for x
    x = 21,831,752,168,027.36/3,843,642.96
  6. Step 6: Final answer
    x = 5,679,963.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.