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Finding the Fourth Proportional to 3,136.59, 4,705.12 and 1,056.59

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Solution

The fourth proportional to 3,136.59, 4,705.12 and 1,056.59 is: 1,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.59 : 4,705.12 = 1,056.59 : x
  2. Step 2: Convert to fraction form
    3,136.59/4,705.12 = 1,056.59/x
  3. Step 3: Cross multiply
    3,136.59x = 4,705.12 × 1,056.59
  4. Step 4: Simplify right side
    3,136.59x = 4,971,382.74
  5. Step 5: Solve for x
    x = 4,971,382.74/3,136.59
  6. Step 6: Final answer
    x = 1,584.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.