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Finding the Fourth Proportional to 3,142.52, 4,336.31 and 1,883.39

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Solution

The fourth proportional to 3,142.52, 4,336.31 and 1,883.39 is: 2,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.52 : 4,336.31 = 1,883.39 : x
  2. Step 2: Convert to fraction form
    3,142.52/4,336.31 = 1,883.39/x
  3. Step 3: Cross multiply
    3,142.52x = 4,336.31 × 1,883.39
  4. Step 4: Simplify right side
    3,142.52x = 8,166,931.79
  5. Step 5: Solve for x
    x = 8,166,931.79/3,142.52
  6. Step 6: Final answer
    x = 2,598.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.