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Finding the Fourth Proportional to 5,152.32, 7,711.20 and 4,227.84

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Solution

The fourth proportional to 5,152.32, 7,711.20 and 4,227.84 is: 6,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.32 : 7,711.20 = 4,227.84 : x
  2. Step 2: Convert to fraction form
    5,152.32/7,711.20 = 4,227.84/x
  3. Step 3: Cross multiply
    5,152.32x = 7,711.20 × 4,227.84
  4. Step 4: Simplify right side
    5,152.32x = 32,601,719.81
  5. Step 5: Solve for x
    x = 32,601,719.81/5,152.32
  6. Step 6: Final answer
    x = 6,327.58

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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.