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Finding the Fourth Proportional to 3,136.92, 4,701.69 and 1,287.12

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Solution

The fourth proportional to 3,136.92, 4,701.69 and 1,287.12 is: 1,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.92 : 4,701.69 = 1,287.12 : x
  2. Step 2: Convert to fraction form
    3,136.92/4,701.69 = 1,287.12/x
  3. Step 3: Cross multiply
    3,136.92x = 4,701.69 × 1,287.12
  4. Step 4: Simplify right side
    3,136.92x = 6,051,639.23
  5. Step 5: Solve for x
    x = 6,051,639.23/3,136.92
  6. Step 6: Final answer
    x = 1,929.17

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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.