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Finding the Fourth Proportional to 4,166.78, 5,747.76 and 2,487.65

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Solution

The fourth proportional to 4,166.78, 5,747.76 and 2,487.65 is: 3,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.78 : 5,747.76 = 2,487.65 : x
  2. Step 2: Convert to fraction form
    4,166.78/5,747.76 = 2,487.65/x
  3. Step 3: Cross multiply
    4,166.78x = 5,747.76 × 2,487.65
  4. Step 4: Simplify right side
    4,166.78x = 14,298,386.43
  5. Step 5: Solve for x
    x = 14,298,386.43/4,166.78
  6. Step 6: Final answer
    x = 3,431.52

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