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Finding the Fourth Proportional to 5,159.87, 7,737.44 and 1,649.19

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Solution

The fourth proportional to 5,159.87, 7,737.44 and 1,649.19 is: 2,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.87 : 7,737.44 = 1,649.19 : x
  2. Step 2: Convert to fraction form
    5,159.87/7,737.44 = 1,649.19/x
  3. Step 3: Cross multiply
    5,159.87x = 7,737.44 × 1,649.19
  4. Step 4: Simplify right side
    5,159.87x = 12,760,500.43
  5. Step 5: Solve for x
    x = 12,760,500.43/5,159.87
  6. Step 6: Final answer
    x = 2,473.03

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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.