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Finding the Fourth Proportional to 5,868.68, 8,098.71 and 3,510.82

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Solution

The fourth proportional to 5,868.68, 8,098.71 and 3,510.82 is: 4,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.68 : 8,098.71 = 3,510.82 : x
  2. Step 2: Convert to fraction form
    5,868.68/8,098.71 = 3,510.82/x
  3. Step 3: Cross multiply
    5,868.68x = 8,098.71 × 3,510.82
  4. Step 4: Simplify right side
    5,868.68x = 28,433,072.55
  5. Step 5: Solve for x
    x = 28,433,072.55/5,868.68
  6. Step 6: Final answer
    x = 4,844.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.