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Finding the Fourth Proportional to 6,491.52, 8,962.38 and 4,256.64

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Solution

The fourth proportional to 6,491.52, 8,962.38 and 4,256.64 is: 5,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.52 : 8,962.38 = 4,256.64 : x
  2. Step 2: Convert to fraction form
    6,491.52/8,962.38 = 4,256.64/x
  3. Step 3: Cross multiply
    6,491.52x = 8,962.38 × 4,256.64
  4. Step 4: Simplify right side
    6,491.52x = 38,149,625.20
  5. Step 5: Solve for x
    x = 38,149,625.20/6,491.52
  6. Step 6: Final answer
    x = 5,876.84

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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.