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Finding the Fourth Proportional to 5,801.98, 8,006.65 and 3,149.49

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Solution

The fourth proportional to 5,801.98, 8,006.65 and 3,149.49 is: 4,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.98 : 8,006.65 = 3,149.49 : x
  2. Step 2: Convert to fraction form
    5,801.98/8,006.65 = 3,149.49/x
  3. Step 3: Cross multiply
    5,801.98x = 8,006.65 × 3,149.49
  4. Step 4: Simplify right side
    5,801.98x = 25,216,864.11
  5. Step 5: Solve for x
    x = 25,216,864.11/5,801.98
  6. Step 6: Final answer
    x = 4,346.25

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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.