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Finding the Fourth Proportional to 5,801.88, 8,006.40 and 3,442.68

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Solution

The fourth proportional to 5,801.88, 8,006.40 and 3,442.68 is: 4,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.88 : 8,006.40 = 3,442.68 : x
  2. Step 2: Convert to fraction form
    5,801.88/8,006.40 = 3,442.68/x
  3. Step 3: Cross multiply
    5,801.88x = 8,006.40 × 3,442.68
  4. Step 4: Simplify right side
    5,801.88x = 27,563,473.15
  5. Step 5: Solve for x
    x = 27,563,473.15/5,801.88
  6. Step 6: Final answer
    x = 4,750.78

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1.5x scale

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.