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Finding the Fourth Proportional to 3,257.28, 4,884.90 and 917.13

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Solution

The fourth proportional to 3,257.28, 4,884.90 and 917.13 is: 1,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.28 : 4,884.90 = 917.13 : x
  2. Step 2: Convert to fraction form
    3,257.28/4,884.90 = 917.13/x
  3. Step 3: Cross multiply
    3,257.28x = 4,884.90 × 917.13
  4. Step 4: Simplify right side
    3,257.28x = 4,480,088.34
  5. Step 5: Solve for x
    x = 4,480,088.34/3,257.28
  6. Step 6: Final answer
    x = 1,375.41

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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.