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Finding the Fourth Proportional to 4,257.94, 5,877.12 and 2,765.78

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Solution

The fourth proportional to 4,257.94, 5,877.12 and 2,765.78 is: 3,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.94 : 5,877.12 = 2,765.78 : x
  2. Step 2: Convert to fraction form
    4,257.94/5,877.12 = 2,765.78/x
  3. Step 3: Cross multiply
    4,257.94x = 5,877.12 × 2,765.78
  4. Step 4: Simplify right side
    4,257.94x = 16,254,820.95
  5. Step 5: Solve for x
    x = 16,254,820.95/4,257.94
  6. Step 6: Final answer
    x = 3,817.53

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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.