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Finding the Fourth Proportional to 3,517.68, 5,276.40 and 1,052.40

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Solution

The fourth proportional to 3,517.68, 5,276.40 and 1,052.40 is: 1,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.68 : 5,276.40 = 1,052.40 : x
  2. Step 2: Convert to fraction form
    3,517.68/5,276.40 = 1,052.40/x
  3. Step 3: Cross multiply
    3,517.68x = 5,276.40 × 1,052.40
  4. Step 4: Simplify right side
    3,517.68x = 5,552,883.36
  5. Step 5: Solve for x
    x = 5,552,883.36/3,517.68
  6. Step 6: Final answer
    x = 1,578.56

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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.