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Finding the Fourth Proportional to 5,747.42, 7,921.23 and 4,948.69

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Solution

The fourth proportional to 5,747.42, 7,921.23 and 4,948.69 is: 6,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.42 : 7,921.23 = 4,948.69 : x
  2. Step 2: Convert to fraction form
    5,747.42/7,921.23 = 4,948.69/x
  3. Step 3: Cross multiply
    5,747.42x = 7,921.23 × 4,948.69
  4. Step 4: Simplify right side
    5,747.42x = 39,199,711.69
  5. Step 5: Solve for x
    x = 39,199,711.69/5,747.42
  6. Step 6: Final answer
    x = 6,820.40

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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.