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Finding the Fourth Proportional to 5,136.24, 7,721.60 and 4,053.68

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Solution

The fourth proportional to 5,136.24, 7,721.60 and 4,053.68 is: 6,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.24 : 7,721.60 = 4,053.68 : x
  2. Step 2: Convert to fraction form
    5,136.24/7,721.60 = 4,053.68/x
  3. Step 3: Cross multiply
    5,136.24x = 7,721.60 × 4,053.68
  4. Step 4: Simplify right side
    5,136.24x = 31,300,895.49
  5. Step 5: Solve for x
    x = 31,300,895.49/5,136.24
  6. Step 6: Final answer
    x = 6,094.13

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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.