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Finding the Fourth Proportional to 3,135.76, 4,329.12 and 2,142.48

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Solution

The fourth proportional to 3,135.76, 4,329.12 and 2,142.48 is: 2,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.76 : 4,329.12 = 2,142.48 : x
  2. Step 2: Convert to fraction form
    3,135.76/4,329.12 = 2,142.48/x
  3. Step 3: Cross multiply
    3,135.76x = 4,329.12 × 2,142.48
  4. Step 4: Simplify right side
    3,135.76x = 9,275,053.02
  5. Step 5: Solve for x
    x = 9,275,053.02/3,135.76
  6. Step 6: Final answer
    x = 2,957.83

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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.