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Finding the Fourth Proportional to 3,127.76, 4,298.24 and 2,983.20

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Solution

The fourth proportional to 3,127.76, 4,298.24 and 2,983.20 is: 4,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.76 : 4,298.24 = 2,983.20 : x
  2. Step 2: Convert to fraction form
    3,127.76/4,298.24 = 2,983.20/x
  3. Step 3: Cross multiply
    3,127.76x = 4,298.24 × 2,983.20
  4. Step 4: Simplify right side
    3,127.76x = 12,822,494.65
  5. Step 5: Solve for x
    x = 12,822,494.65/3,127.76
  6. Step 6: Final answer
    x = 4,099.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.