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Finding the Fourth Proportional to 5,159.12, 7,739.80 and 1,650.20

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Solution

The fourth proportional to 5,159.12, 7,739.80 and 1,650.20 is: 2,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.12 : 7,739.80 = 1,650.20 : x
  2. Step 2: Convert to fraction form
    5,159.12/7,739.80 = 1,650.20/x
  3. Step 3: Cross multiply
    5,159.12x = 7,739.80 × 1,650.20
  4. Step 4: Simplify right side
    5,159.12x = 12,772,217.96
  5. Step 5: Solve for x
    x = 12,772,217.96/5,159.12
  6. Step 6: Final answer
    x = 2,475.66

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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.