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Finding the Fourth Proportional to 3,477.52, 5,188.82 and 3,149.20

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Solution

The fourth proportional to 3,477.52, 5,188.82 and 3,149.20 is: 4,698.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.52 : 5,188.82 = 3,149.20 : x
  2. Step 2: Convert to fraction form
    3,477.52/5,188.82 = 3,149.20/x
  3. Step 3: Cross multiply
    3,477.52x = 5,188.82 × 3,149.20
  4. Step 4: Simplify right side
    3,477.52x = 16,340,631.94
  5. Step 5: Solve for x
    x = 16,340,631.94/3,477.52
  6. Step 6: Final answer
    x = 4,698.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.