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Finding the Fourth Proportional to 3,966.52, 5,945.70 and 1,499.80

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Solution

The fourth proportional to 3,966.52, 5,945.70 and 1,499.80 is: 2,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.52 : 5,945.70 = 1,499.80 : x
  2. Step 2: Convert to fraction form
    3,966.52/5,945.70 = 1,499.80/x
  3. Step 3: Cross multiply
    3,966.52x = 5,945.70 × 1,499.80
  4. Step 4: Simplify right side
    3,966.52x = 8,917,360.86
  5. Step 5: Solve for x
    x = 8,917,360.86/3,966.52
  6. Step 6: Final answer
    x = 2,248.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.