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Finding the Fourth Proportional to 5,626.31, 7,764.80 and 3,734.55

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Solution

The fourth proportional to 5,626.31, 7,764.80 and 3,734.55 is: 5,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.31 : 7,764.80 = 3,734.55 : x
  2. Step 2: Convert to fraction form
    5,626.31/7,764.80 = 3,734.55/x
  3. Step 3: Cross multiply
    5,626.31x = 7,764.80 × 3,734.55
  4. Step 4: Simplify right side
    5,626.31x = 28,998,015.17
  5. Step 5: Solve for x
    x = 28,998,015.17/5,626.31
  6. Step 6: Final answer
    x = 5,154.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.