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Finding the Fourth Proportional to 3,970.14, 5,472.48 and 3,129.48

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Solution

The fourth proportional to 3,970.14, 5,472.48 and 3,129.48 is: 4,313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.14 : 5,472.48 = 3,129.48 : x
  2. Step 2: Convert to fraction form
    3,970.14/5,472.48 = 3,129.48/x
  3. Step 3: Cross multiply
    3,970.14x = 5,472.48 × 3,129.48
  4. Step 4: Simplify right side
    3,970.14x = 17,126,016.71
  5. Step 5: Solve for x
    x = 17,126,016.71/3,970.14
  6. Step 6: Final answer
    x = 4,313.71

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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.