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Finding the Fourth Proportional to 5,510.97, 8,260.65 and 2,586.87

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Solution

The fourth proportional to 5,510.97, 8,260.65 and 2,586.87 is: 3,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510.97 : 8,260.65 = 2,586.87 : x
  2. Step 2: Convert to fraction form
    5,510.97/8,260.65 = 2,586.87/x
  3. Step 3: Cross multiply
    5,510.97x = 8,260.65 × 2,586.87
  4. Step 4: Simplify right side
    5,510.97x = 21,369,227.67
  5. Step 5: Solve for x
    x = 21,369,227.67/5,510.97
  6. Step 6: Final answer
    x = 3,877.58

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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.