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Finding the Fourth Proportional to 5,284.62, 7,920.94 and 4,105.87

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Solution

The fourth proportional to 5,284.62, 7,920.94 and 4,105.87 is: 6,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.62 : 7,920.94 = 4,105.87 : x
  2. Step 2: Convert to fraction form
    5,284.62/7,920.94 = 4,105.87/x
  3. Step 3: Cross multiply
    5,284.62x = 7,920.94 × 4,105.87
  4. Step 4: Simplify right side
    5,284.62x = 32,522,349.92
  5. Step 5: Solve for x
    x = 32,522,349.92/5,284.62
  6. Step 6: Final answer
    x = 6,154.15

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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.