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Finding the Fourth Proportional to 5,137.68, 7,705.76 and 1,439.69

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Solution

The fourth proportional to 5,137.68, 7,705.76 and 1,439.69 is: 2,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.68 : 7,705.76 = 1,439.69 : x
  2. Step 2: Convert to fraction form
    5,137.68/7,705.76 = 1,439.69/x
  3. Step 3: Cross multiply
    5,137.68x = 7,705.76 × 1,439.69
  4. Step 4: Simplify right side
    5,137.68x = 11,093,859.89
  5. Step 5: Solve for x
    x = 11,093,859.89/5,137.68
  6. Step 6: Final answer
    x = 2,159.31

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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.