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Finding the Fourth Proportional to 5,078.75, 7,609.41 and 4,565.17

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Solution

The fourth proportional to 5,078.75, 7,609.41 and 4,565.17 is: 6,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.75 : 7,609.41 = 4,565.17 : x
  2. Step 2: Convert to fraction form
    5,078.75/7,609.41 = 4,565.17/x
  3. Step 3: Cross multiply
    5,078.75x = 7,609.41 × 4,565.17
  4. Step 4: Simplify right side
    5,078.75x = 34,738,231.23
  5. Step 5: Solve for x
    x = 34,738,231.23/5,078.75
  6. Step 6: Final answer
    x = 6,839.91

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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.