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Finding the Fourth Proportional to 4,046.44, 6,069.42 and 2,381.50

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Solution

The fourth proportional to 4,046.44, 6,069.42 and 2,381.50 is: 3,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.44 : 6,069.42 = 2,381.50 : x
  2. Step 2: Convert to fraction form
    4,046.44/6,069.42 = 2,381.50/x
  3. Step 3: Cross multiply
    4,046.44x = 6,069.42 × 2,381.50
  4. Step 4: Simplify right side
    4,046.44x = 14,454,323.73
  5. Step 5: Solve for x
    x = 14,454,323.73/4,046.44
  6. Step 6: Final answer
    x = 3,572.11

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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.