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Finding the Fourth Proportional to 5,191.65, 7,737.12 and 5,025.61

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Solution

The fourth proportional to 5,191.65, 7,737.12 and 5,025.61 is: 7,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.65 : 7,737.12 = 5,025.61 : x
  2. Step 2: Convert to fraction form
    5,191.65/7,737.12 = 5,025.61/x
  3. Step 3: Cross multiply
    5,191.65x = 7,737.12 × 5,025.61
  4. Step 4: Simplify right side
    5,191.65x = 38,883,747.64
  5. Step 5: Solve for x
    x = 38,883,747.64/5,191.65
  6. Step 6: Final answer
    x = 7,489.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.