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Finding the Fourth Proportional to 3,647.25, 5,470.89 and 1,565.49

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Solution

The fourth proportional to 3,647.25, 5,470.89 and 1,565.49 is: 2,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.25 : 5,470.89 = 1,565.49 : x
  2. Step 2: Convert to fraction form
    3,647.25/5,470.89 = 1,565.49/x
  3. Step 3: Cross multiply
    3,647.25x = 5,470.89 × 1,565.49
  4. Step 4: Simplify right side
    3,647.25x = 8,564,623.59
  5. Step 5: Solve for x
    x = 8,564,623.59/3,647.25
  6. Step 6: Final answer
    x = 2,348.24

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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.