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Finding the Fourth Proportional to 5,159.90, 7,737.48 and 1,649.22

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Solution

The fourth proportional to 5,159.90, 7,737.48 and 1,649.22 is: 2,473.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.90 : 7,737.48 = 1,649.22 : x
  2. Step 2: Convert to fraction form
    5,159.90/7,737.48 = 1,649.22/x
  3. Step 3: Cross multiply
    5,159.90x = 7,737.48 × 1,649.22
  4. Step 4: Simplify right side
    5,159.90x = 12,760,806.77
  5. Step 5: Solve for x
    x = 12,760,806.77/5,159.90
  6. Step 6: Final answer
    x = 2,473.07

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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.