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Finding the Fourth Proportional to 5,136.95, 7,702.45 and 2,013.31

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Solution

The fourth proportional to 5,136.95, 7,702.45 and 2,013.31 is: 3,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.95 : 7,702.45 = 2,013.31 : x
  2. Step 2: Convert to fraction form
    5,136.95/7,702.45 = 2,013.31/x
  3. Step 3: Cross multiply
    5,136.95x = 7,702.45 × 2,013.31
  4. Step 4: Simplify right side
    5,136.95x = 15,507,419.61
  5. Step 5: Solve for x
    x = 15,507,419.61/5,136.95
  6. Step 6: Final answer
    x = 3,018.80

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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.