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Finding the Fourth Proportional to 3,745.06, 5,610.12 and 3,438.88

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Solution

The fourth proportional to 3,745.06, 5,610.12 and 3,438.88 is: 5,151.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.06 : 5,610.12 = 3,438.88 : x
  2. Step 2: Convert to fraction form
    3,745.06/5,610.12 = 3,438.88/x
  3. Step 3: Cross multiply
    3,745.06x = 5,610.12 × 3,438.88
  4. Step 4: Simplify right side
    3,745.06x = 19,292,529.47
  5. Step 5: Solve for x
    x = 19,292,529.47/3,745.06
  6. Step 6: Final answer
    x = 5,151.46

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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.