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Finding the Fourth Proportional to 3,142.39, 4,703.87 and 2,675.83

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Solution

The fourth proportional to 3,142.39, 4,703.87 and 2,675.83 is: 4,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.39 : 4,703.87 = 2,675.83 : x
  2. Step 2: Convert to fraction form
    3,142.39/4,703.87 = 2,675.83/x
  3. Step 3: Cross multiply
    3,142.39x = 4,703.87 × 2,675.83
  4. Step 4: Simplify right side
    3,142.39x = 12,586,743.08
  5. Step 5: Solve for x
    x = 12,586,743.08/3,142.39
  6. Step 6: Final answer
    x = 4,005.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.