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Finding the Fourth Proportional to 5,190.32, 7,767.23 and 4,468.61

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Solution

The fourth proportional to 5,190.32, 7,767.23 and 4,468.61 is: 6,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.32 : 7,767.23 = 4,468.61 : x
  2. Step 2: Convert to fraction form
    5,190.32/7,767.23 = 4,468.61/x
  3. Step 3: Cross multiply
    5,190.32x = 7,767.23 × 4,468.61
  4. Step 4: Simplify right side
    5,190.32x = 34,708,718.73
  5. Step 5: Solve for x
    x = 34,708,718.73/5,190.32
  6. Step 6: Final answer
    x = 6,687.20

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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.