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Finding the Fourth Proportional to 5,229.60, 7,842.16 and 1,765.28

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Solution

The fourth proportional to 5,229.60, 7,842.16 and 1,765.28 is: 2,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.60 : 7,842.16 = 1,765.28 : x
  2. Step 2: Convert to fraction form
    5,229.60/7,842.16 = 1,765.28/x
  3. Step 3: Cross multiply
    5,229.60x = 7,842.16 × 1,765.28
  4. Step 4: Simplify right side
    5,229.60x = 13,843,608.20
  5. Step 5: Solve for x
    x = 13,843,608.20/5,229.60
  6. Step 6: Final answer
    x = 2,647.16

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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.