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Finding the Fourth Proportional to 3,136.30, 4,704.12 and 1,287.61

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Solution

The fourth proportional to 3,136.30, 4,704.12 and 1,287.61 is: 1,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.30 : 4,704.12 = 1,287.61 : x
  2. Step 2: Convert to fraction form
    3,136.30/4,704.12 = 1,287.61/x
  3. Step 3: Cross multiply
    3,136.30x = 4,704.12 × 1,287.61
  4. Step 4: Simplify right side
    3,136.30x = 6,057,071.95
  5. Step 5: Solve for x
    x = 6,057,071.95/3,136.30
  6. Step 6: Final answer
    x = 1,931.28

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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.