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Finding the Fourth Proportional to 4,962.60, 7,427.52 and 4,142.52

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Solution

The fourth proportional to 4,962.60, 7,427.52 and 4,142.52 is: 6,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.60 : 7,427.52 = 4,142.52 : x
  2. Step 2: Convert to fraction form
    4,962.60/7,427.52 = 4,142.52/x
  3. Step 3: Cross multiply
    4,962.60x = 7,427.52 × 4,142.52
  4. Step 4: Simplify right side
    4,962.60x = 30,768,650.15
  5. Step 5: Solve for x
    x = 30,768,650.15/4,962.60
  6. Step 6: Final answer
    x = 6,200.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.