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Finding the Fourth Proportional to 4,057.95, 5,600.26 and 2,265.78

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Solution

The fourth proportional to 4,057.95, 5,600.26 and 2,265.78 is: 3,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.95 : 5,600.26 = 2,265.78 : x
  2. Step 2: Convert to fraction form
    4,057.95/5,600.26 = 2,265.78/x
  3. Step 3: Cross multiply
    4,057.95x = 5,600.26 × 2,265.78
  4. Step 4: Simplify right side
    4,057.95x = 12,688,972.44
  5. Step 5: Solve for x
    x = 12,688,972.44/4,057.95
  6. Step 6: Final answer
    x = 3,126.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.