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Finding the Fourth Proportional to 3,842.50, 5,301.70 and 2,349.87

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Solution

The fourth proportional to 3,842.50, 5,301.70 and 2,349.87 is: 3,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.50 : 5,301.70 = 2,349.87 : x
  2. Step 2: Convert to fraction form
    3,842.50/5,301.70 = 2,349.87/x
  3. Step 3: Cross multiply
    3,842.50x = 5,301.70 × 2,349.87
  4. Step 4: Simplify right side
    3,842.50x = 12,458,305.78
  5. Step 5: Solve for x
    x = 12,458,305.78/3,842.50
  6. Step 6: Final answer
    x = 3,242.24

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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.