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Finding the Fourth Proportional to 5,136.66, 7,085.25 and 3,146.49

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Solution

The fourth proportional to 5,136.66, 7,085.25 and 3,146.49 is: 4,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.66 : 7,085.25 = 3,146.49 : x
  2. Step 2: Convert to fraction form
    5,136.66/7,085.25 = 3,146.49/x
  3. Step 3: Cross multiply
    5,136.66x = 7,085.25 × 3,146.49
  4. Step 4: Simplify right side
    5,136.66x = 22,293,668.27
  5. Step 5: Solve for x
    x = 22,293,668.27/5,136.66
  6. Step 6: Final answer
    x = 4,340.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.