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Finding the Fourth Proportional to 4,909.88, 7,366.68 and 2,278.65

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Solution

The fourth proportional to 4,909.88, 7,366.68 and 2,278.65 is: 3,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.88 : 7,366.68 = 2,278.65 : x
  2. Step 2: Convert to fraction form
    4,909.88/7,366.68 = 2,278.65/x
  3. Step 3: Cross multiply
    4,909.88x = 7,366.68 × 2,278.65
  4. Step 4: Simplify right side
    4,909.88x = 16,786,071.57
  5. Step 5: Solve for x
    x = 16,786,071.57/4,909.88
  6. Step 6: Final answer
    x = 3,418.83

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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.