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Finding the Fourth Proportional to 5,578.72, 7,698.65 and 3,155.95

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Solution

The fourth proportional to 5,578.72, 7,698.65 and 3,155.95 is: 4,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.72 : 7,698.65 = 3,155.95 : x
  2. Step 2: Convert to fraction form
    5,578.72/7,698.65 = 3,155.95/x
  3. Step 3: Cross multiply
    5,578.72x = 7,698.65 × 3,155.95
  4. Step 4: Simplify right side
    5,578.72x = 24,296,554.47
  5. Step 5: Solve for x
    x = 24,296,554.47/5,578.72
  6. Step 6: Final answer
    x = 4,355.22

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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.