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Finding the Fourth Proportional to 5,449.60, 8,179.68 and 5,153.60

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Solution

The fourth proportional to 5,449.60, 8,179.68 and 5,153.60 is: 7,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.60 : 8,179.68 = 5,153.60 : x
  2. Step 2: Convert to fraction form
    5,449.60/8,179.68 = 5,153.60/x
  3. Step 3: Cross multiply
    5,449.60x = 8,179.68 × 5,153.60
  4. Step 4: Simplify right side
    5,449.60x = 42,154,798.85
  5. Step 5: Solve for x
    x = 42,154,798.85/5,449.60
  6. Step 6: Final answer
    x = 7,735.39

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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.