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Finding the Fourth Proportional to 5,640.42, 8,422.05 and 4,588.54

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Solution

The fourth proportional to 5,640.42, 8,422.05 and 4,588.54 is: 6,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.42 : 8,422.05 = 4,588.54 : x
  2. Step 2: Convert to fraction form
    5,640.42/8,422.05 = 4,588.54/x
  3. Step 3: Cross multiply
    5,640.42x = 8,422.05 × 4,588.54
  4. Step 4: Simplify right side
    5,640.42x = 38,644,913.31
  5. Step 5: Solve for x
    x = 38,644,913.31/5,640.42
  6. Step 6: Final answer
    x = 6,851.42

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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.