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Finding the Fourth Proportional to 4,775.49, 6,575.49 and 4,144.91

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Solution

The fourth proportional to 4,775.49, 6,575.49 and 4,144.91 is: 5,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.49 : 6,575.49 = 4,144.91 : x
  2. Step 2: Convert to fraction form
    4,775.49/6,575.49 = 4,144.91/x
  3. Step 3: Cross multiply
    4,775.49x = 6,575.49 × 4,144.91
  4. Step 4: Simplify right side
    4,775.49x = 27,254,781.38
  5. Step 5: Solve for x
    x = 27,254,781.38/4,775.49
  6. Step 6: Final answer
    x = 5,707.22

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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.