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Finding the Fourth Proportional to 3,625.88, 5,438.10 and 1,776.20

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Solution

The fourth proportional to 3,625.88, 5,438.10 and 1,776.20 is: 2,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.88 : 5,438.10 = 1,776.20 : x
  2. Step 2: Convert to fraction form
    3,625.88/5,438.10 = 1,776.20/x
  3. Step 3: Cross multiply
    3,625.88x = 5,438.10 × 1,776.20
  4. Step 4: Simplify right side
    3,625.88x = 9,659,153.22
  5. Step 5: Solve for x
    x = 9,659,153.22/3,625.88
  6. Step 6: Final answer
    x = 2,663.95

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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.