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Finding the Fourth Proportional to 5,154.93, 7,722.08 and 2,377.80

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Solution

The fourth proportional to 5,154.93, 7,722.08 and 2,377.80 is: 3,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.93 : 7,722.08 = 2,377.80 : x
  2. Step 2: Convert to fraction form
    5,154.93/7,722.08 = 2,377.80/x
  3. Step 3: Cross multiply
    5,154.93x = 7,722.08 × 2,377.80
  4. Step 4: Simplify right side
    5,154.93x = 18,361,561.82
  5. Step 5: Solve for x
    x = 18,361,561.82/5,154.93
  6. Step 6: Final answer
    x = 3,561.94

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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.