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Finding the Fourth Proportional to 5,565.24, 7,679.26 and 3,578.47

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Solution

The fourth proportional to 5,565.24, 7,679.26 and 3,578.47 is: 4,937.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.24 : 7,679.26 = 3,578.47 : x
  2. Step 2: Convert to fraction form
    5,565.24/7,679.26 = 3,578.47/x
  3. Step 3: Cross multiply
    5,565.24x = 7,679.26 × 3,578.47
  4. Step 4: Simplify right side
    5,565.24x = 27,480,001.53
  5. Step 5: Solve for x
    x = 27,480,001.53/5,565.24
  6. Step 6: Final answer
    x = 4,937.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.