Home / 5,902-8,145.84-4,136.24

Finding the Fourth Proportional to 5,902, 8,145.84 and 4,136.24

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Solution

The fourth proportional to 5,902, 8,145.84 and 4,136.24 is: 5,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 8,145.84 = 4,136.24 : x
  2. Step 2: Convert to fraction form
    5,902/8,145.84 = 4,136.24/x
  3. Step 3: Cross multiply
    5,902x = 8,145.84 × 4,136.24
  4. Step 4: Simplify right side
    5,902x = 33,693,149.24
  5. Step 5: Solve for x
    x = 33,693,149.24/5,902
  6. Step 6: Final answer
    x = 5,708.77

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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.