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Finding the Fourth Proportional to 3,136.29, 4,705.16 and 1,056.24

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Solution

The fourth proportional to 3,136.29, 4,705.16 and 1,056.24 is: 1,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.29 : 4,705.16 = 1,056.24 : x
  2. Step 2: Convert to fraction form
    3,136.29/4,705.16 = 1,056.24/x
  3. Step 3: Cross multiply
    3,136.29x = 4,705.16 × 1,056.24
  4. Step 4: Simplify right side
    3,136.29x = 4,969,772.92
  5. Step 5: Solve for x
    x = 4,969,772.92/3,136.29
  6. Step 6: Final answer
    x = 1,584.60

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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.