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Finding the Fourth Proportional to 3,708.45, 5,564.70 and 1,517.40

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Solution

The fourth proportional to 3,708.45, 5,564.70 and 1,517.40 is: 2,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.45 : 5,564.70 = 1,517.40 : x
  2. Step 2: Convert to fraction form
    3,708.45/5,564.70 = 1,517.40/x
  3. Step 3: Cross multiply
    3,708.45x = 5,564.70 × 1,517.40
  4. Step 4: Simplify right side
    3,708.45x = 8,443,875.78
  5. Step 5: Solve for x
    x = 8,443,875.78/3,708.45
  6. Step 6: Final answer
    x = 2,276.93

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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.