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Finding the Fourth Proportional to 3,897.98, 5,839.26 and 2,046.32

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Solution

The fourth proportional to 3,897.98, 5,839.26 and 2,046.32 is: 3,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.98 : 5,839.26 = 2,046.32 : x
  2. Step 2: Convert to fraction form
    3,897.98/5,839.26 = 2,046.32/x
  3. Step 3: Cross multiply
    3,897.98x = 5,839.26 × 2,046.32
  4. Step 4: Simplify right side
    3,897.98x = 11,948,994.52
  5. Step 5: Solve for x
    x = 11,948,994.52/3,897.98
  6. Step 6: Final answer
    x = 3,065.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.