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Finding the Fourth Proportional to 3,142.66, 4,324.08 and 2,883.46

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Solution

The fourth proportional to 3,142.66, 4,324.08 and 2,883.46 is: 3,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.66 : 4,324.08 = 2,883.46 : x
  2. Step 2: Convert to fraction form
    3,142.66/4,324.08 = 2,883.46/x
  3. Step 3: Cross multiply
    3,142.66x = 4,324.08 × 2,883.46
  4. Step 4: Simplify right side
    3,142.66x = 12,468,311.72
  5. Step 5: Solve for x
    x = 12,468,311.72/3,142.66
  6. Step 6: Final answer
    x = 3,967.44

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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.