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Finding the Fourth Proportional to 3,363.96, 4,642.32 and 1,871.94

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Solution

The fourth proportional to 3,363.96, 4,642.32 and 1,871.94 is: 2,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.96 : 4,642.32 = 1,871.94 : x
  2. Step 2: Convert to fraction form
    3,363.96/4,642.32 = 1,871.94/x
  3. Step 3: Cross multiply
    3,363.96x = 4,642.32 × 1,871.94
  4. Step 4: Simplify right side
    3,363.96x = 8,690,144.50
  5. Step 5: Solve for x
    x = 8,690,144.50/3,363.96
  6. Step 6: Final answer
    x = 2,583.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.