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Finding the Fourth Proportional to 3,708.47, 5,564.25 and 1,627.40

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Solution

The fourth proportional to 3,708.47, 5,564.25 and 1,627.40 is: 2,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.47 : 5,564.25 = 1,627.40 : x
  2. Step 2: Convert to fraction form
    3,708.47/5,564.25 = 1,627.40/x
  3. Step 3: Cross multiply
    3,708.47x = 5,564.25 × 1,627.40
  4. Step 4: Simplify right side
    3,708.47x = 9,055,260.45
  5. Step 5: Solve for x
    x = 9,055,260.45/3,708.47
  6. Step 6: Final answer
    x = 2,441.78

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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.