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Finding the Fourth Proportional to 3,745.55, 5,170.71 and 2,254.61

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Solution

The fourth proportional to 3,745.55, 5,170.71 and 2,254.61 is: 3,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.55 : 5,170.71 = 2,254.61 : x
  2. Step 2: Convert to fraction form
    3,745.55/5,170.71 = 2,254.61/x
  3. Step 3: Cross multiply
    3,745.55x = 5,170.71 × 2,254.61
  4. Step 4: Simplify right side
    3,745.55x = 11,657,934.47
  5. Step 5: Solve for x
    x = 11,657,934.47/3,745.55
  6. Step 6: Final answer
    x = 3,112.48

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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.