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Finding the Fourth Proportional to 4,046.69, 6,069.80 and 2,381.75

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Solution

The fourth proportional to 4,046.69, 6,069.80 and 2,381.75 is: 3,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.69 : 6,069.80 = 2,381.75 : x
  2. Step 2: Convert to fraction form
    4,046.69/6,069.80 = 2,381.75/x
  3. Step 3: Cross multiply
    4,046.69x = 6,069.80 × 2,381.75
  4. Step 4: Simplify right side
    4,046.69x = 14,456,734.24
  5. Step 5: Solve for x
    x = 14,456,734.24/4,046.69
  6. Step 6: Final answer
    x = 3,572.48

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