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Finding the Fourth Proportional to 3,136.47, 4,705.85 and 1,287.08

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Solution

The fourth proportional to 3,136.47, 4,705.85 and 1,287.08 is: 1,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.47 : 4,705.85 = 1,287.08 : x
  2. Step 2: Convert to fraction form
    3,136.47/4,705.85 = 1,287.08/x
  3. Step 3: Cross multiply
    3,136.47x = 4,705.85 × 1,287.08
  4. Step 4: Simplify right side
    3,136.47x = 6,056,824.78
  5. Step 5: Solve for x
    x = 6,056,824.78/3,136.47
  6. Step 6: Final answer
    x = 1,931.10

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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.