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Finding the Fourth Proportional to 5,119.31, 7,639.04 and 4,567.70

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Solution

The fourth proportional to 5,119.31, 7,639.04 and 4,567.70 is: 6,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.31 : 7,639.04 = 4,567.70 : x
  2. Step 2: Convert to fraction form
    5,119.31/7,639.04 = 4,567.70/x
  3. Step 3: Cross multiply
    5,119.31x = 7,639.04 × 4,567.70
  4. Step 4: Simplify right side
    5,119.31x = 34,892,781.97
  5. Step 5: Solve for x
    x = 34,892,781.97/5,119.31
  6. Step 6: Final answer
    x = 6,815.92

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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.