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Finding the Fourth Proportional to 4,812.84, 6,641.40 and 2,796.07

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Solution

The fourth proportional to 4,812.84, 6,641.40 and 2,796.07 is: 3,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.84 : 6,641.40 = 2,796.07 : x
  2. Step 2: Convert to fraction form
    4,812.84/6,641.40 = 2,796.07/x
  3. Step 3: Cross multiply
    4,812.84x = 6,641.40 × 2,796.07
  4. Step 4: Simplify right side
    4,812.84x = 18,569,819.30
  5. Step 5: Solve for x
    x = 18,569,819.30/4,812.84
  6. Step 6: Final answer
    x = 3,858.39

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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.