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Finding the Fourth Proportional to 3,866.47, 5,349.80 and 3,370.15

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Solution

The fourth proportional to 3,866.47, 5,349.80 and 3,370.15 is: 4,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.47 : 5,349.80 = 3,370.15 : x
  2. Step 2: Convert to fraction form
    3,866.47/5,349.80 = 3,370.15/x
  3. Step 3: Cross multiply
    3,866.47x = 5,349.80 × 3,370.15
  4. Step 4: Simplify right side
    3,866.47x = 18,029,628.47
  5. Step 5: Solve for x
    x = 18,029,628.47/3,866.47
  6. Step 6: Final answer
    x = 4,663.07

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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.