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Finding the Fourth Proportional to 4,488.92, 6,175.85 and 4,365.90

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Solution

The fourth proportional to 4,488.92, 6,175.85 and 4,365.90 is: 6,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.92 : 6,175.85 = 4,365.90 : x
  2. Step 2: Convert to fraction form
    4,488.92/6,175.85 = 4,365.90/x
  3. Step 3: Cross multiply
    4,488.92x = 6,175.85 × 4,365.90
  4. Step 4: Simplify right side
    4,488.92x = 26,963,121.69
  5. Step 5: Solve for x
    x = 26,963,121.69/4,488.92
  6. Step 6: Final answer
    x = 6,006.60

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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.