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Finding the Fourth Proportional to 3,549.47, 5,321.27 and 1,470.96

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Solution

The fourth proportional to 3,549.47, 5,321.27 and 1,470.96 is: 2,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.47 : 5,321.27 = 1,470.96 : x
  2. Step 2: Convert to fraction form
    3,549.47/5,321.27 = 1,470.96/x
  3. Step 3: Cross multiply
    3,549.47x = 5,321.27 × 1,470.96
  4. Step 4: Simplify right side
    3,549.47x = 7,827,374.86
  5. Step 5: Solve for x
    x = 7,827,374.86/3,549.47
  6. Step 6: Final answer
    x = 2,205.22

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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.