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Finding the Fourth Proportional to 4,321.66, 5,963.93 and 2,432.88

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Solution

The fourth proportional to 4,321.66, 5,963.93 and 2,432.88 is: 3,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.66 : 5,963.93 = 2,432.88 : x
  2. Step 2: Convert to fraction form
    4,321.66/5,963.93 = 2,432.88/x
  3. Step 3: Cross multiply
    4,321.66x = 5,963.93 × 2,432.88
  4. Step 4: Simplify right side
    4,321.66x = 14,509,496.20
  5. Step 5: Solve for x
    x = 14,509,496.20/4,321.66
  6. Step 6: Final answer
    x = 3,357.39

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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.