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Finding the Fourth Proportional to 3,517.47, 5,276.00 and 1,052.35

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Solution

The fourth proportional to 3,517.47, 5,276.00 and 1,052.35 is: 1,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.47 : 5,276.00 = 1,052.35 : x
  2. Step 2: Convert to fraction form
    3,517.47/5,276.00 = 1,052.35/x
  3. Step 3: Cross multiply
    3,517.47x = 5,276.00 × 1,052.35
  4. Step 4: Simplify right side
    3,517.47x = 5,552,188.04
  5. Step 5: Solve for x
    x = 5,552,188.04/3,517.47
  6. Step 6: Final answer
    x = 1,578.46

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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.