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Finding the Fourth Proportional to 5,738.40, 7,922.16 and 4,062.24

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Solution

The fourth proportional to 5,738.40, 7,922.16 and 4,062.24 is: 5,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.40 : 7,922.16 = 4,062.24 : x
  2. Step 2: Convert to fraction form
    5,738.40/7,922.16 = 4,062.24/x
  3. Step 3: Cross multiply
    5,738.40x = 7,922.16 × 4,062.24
  4. Step 4: Simplify right side
    5,738.40x = 32,181,715.24
  5. Step 5: Solve for x
    x = 32,181,715.24/5,738.40
  6. Step 6: Final answer
    x = 5,608.13

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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.