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Finding the Fourth Proportional to 4,414.45, 6,602.23 and 2,560.77

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Solution

The fourth proportional to 4,414.45, 6,602.23 and 2,560.77 is: 3,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.45 : 6,602.23 = 2,560.77 : x
  2. Step 2: Convert to fraction form
    4,414.45/6,602.23 = 2,560.77/x
  3. Step 3: Cross multiply
    4,414.45x = 6,602.23 × 2,560.77
  4. Step 4: Simplify right side
    4,414.45x = 16,906,792.52
  5. Step 5: Solve for x
    x = 16,906,792.52/4,414.45
  6. Step 6: Final answer
    x = 3,829.88

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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.