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Finding the Fourth Proportional to 5,154.60, 7,730.68 and 2,962.20

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Solution

The fourth proportional to 5,154.60, 7,730.68 and 2,962.20 is: 4,442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.60 : 7,730.68 = 2,962.20 : x
  2. Step 2: Convert to fraction form
    5,154.60/7,730.68 = 2,962.20/x
  3. Step 3: Cross multiply
    5,154.60x = 7,730.68 × 2,962.20
  4. Step 4: Simplify right side
    5,154.60x = 22,899,820.30
  5. Step 5: Solve for x
    x = 22,899,820.30/5,154.60
  6. Step 6: Final answer
    x = 4,442.60

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