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Finding the Fourth Proportional to 3,136.44, 4,703.91 and 1,055.91

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Solution

The fourth proportional to 3,136.44, 4,703.91 and 1,055.91 is: 1,583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.44 : 4,703.91 = 1,055.91 : x
  2. Step 2: Convert to fraction form
    3,136.44/4,703.91 = 1,055.91/x
  3. Step 3: Cross multiply
    3,136.44x = 4,703.91 × 1,055.91
  4. Step 4: Simplify right side
    3,136.44x = 4,966,892.83
  5. Step 5: Solve for x
    x = 4,966,892.83/3,136.44
  6. Step 6: Final answer
    x = 1,583.61

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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.