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Finding the Fourth Proportional to 5,801.54, 8,003.92 and 4,292.70

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Solution

The fourth proportional to 5,801.54, 8,003.92 and 4,292.70 is: 5,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.54 : 8,003.92 = 4,292.70 : x
  2. Step 2: Convert to fraction form
    5,801.54/8,003.92 = 4,292.70/x
  3. Step 3: Cross multiply
    5,801.54x = 8,003.92 × 4,292.70
  4. Step 4: Simplify right side
    5,801.54x = 34,358,427.38
  5. Step 5: Solve for x
    x = 34,358,427.38/5,801.54
  6. Step 6: Final answer
    x = 5,922.29

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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.