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Finding the Fourth Proportional to 5,578.59, 7,698.33 and 3,155.76

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Solution

The fourth proportional to 5,578.59, 7,698.33 and 3,155.76 is: 4,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.59 : 7,698.33 = 3,155.76 : x
  2. Step 2: Convert to fraction form
    5,578.59/7,698.33 = 3,155.76/x
  3. Step 3: Cross multiply
    5,578.59x = 7,698.33 × 3,155.76
  4. Step 4: Simplify right side
    5,578.59x = 24,294,081.88
  5. Step 5: Solve for x
    x = 24,294,081.88/5,578.59
  6. Step 6: Final answer
    x = 4,354.88

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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.