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Finding the Fourth Proportional to 5,793.72, 8,648.17 and 4,977.24

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Solution

The fourth proportional to 5,793.72, 8,648.17 and 4,977.24 is: 7,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.72 : 8,648.17 = 4,977.24 : x
  2. Step 2: Convert to fraction form
    5,793.72/8,648.17 = 4,977.24/x
  3. Step 3: Cross multiply
    5,793.72x = 8,648.17 × 4,977.24
  4. Step 4: Simplify right side
    5,793.72x = 43,044,017.65
  5. Step 5: Solve for x
    x = 43,044,017.65/5,793.72
  6. Step 6: Final answer
    x = 7,429.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.