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Finding the Fourth Proportional to 4,321.68, 5,963.76 and 2,458.32

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Solution

The fourth proportional to 4,321.68, 5,963.76 and 2,458.32 is: 3,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.68 : 5,963.76 = 2,458.32 : x
  2. Step 2: Convert to fraction form
    4,321.68/5,963.76 = 2,458.32/x
  3. Step 3: Cross multiply
    4,321.68x = 5,963.76 × 2,458.32
  4. Step 4: Simplify right side
    4,321.68x = 14,660,830.48
  5. Step 5: Solve for x
    x = 14,660,830.48/4,321.68
  6. Step 6: Final answer
    x = 3,392.39

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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.