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Finding the Fourth Proportional to 5,136.70, 7,702.80 and 2,362.45

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Solution

The fourth proportional to 5,136.70, 7,702.80 and 2,362.45 is: 3,542.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.70 : 7,702.80 = 2,362.45 : x
  2. Step 2: Convert to fraction form
    5,136.70/7,702.80 = 2,362.45/x
  3. Step 3: Cross multiply
    5,136.70x = 7,702.80 × 2,362.45
  4. Step 4: Simplify right side
    5,136.70x = 18,197,479.86
  5. Step 5: Solve for x
    x = 18,197,479.86/5,136.70
  6. Step 6: Final answer
    x = 3,542.64

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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.