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Finding the Fourth Proportional to 3,473.52, 5,182.86 and 3,145.20

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Solution

The fourth proportional to 3,473.52, 5,182.86 and 3,145.20 is: 4,692.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.52 : 5,182.86 = 3,145.20 : x
  2. Step 2: Convert to fraction form
    3,473.52/5,182.86 = 3,145.20/x
  3. Step 3: Cross multiply
    3,473.52x = 5,182.86 × 3,145.20
  4. Step 4: Simplify right side
    3,473.52x = 16,301,131.27
  5. Step 5: Solve for x
    x = 16,301,131.27/3,473.52
  6. Step 6: Final answer
    x = 4,692.97

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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.