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Finding the Fourth Proportional to 3,438.50, 4,745.13 and 2,041.52

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Solution

The fourth proportional to 3,438.50, 4,745.13 and 2,041.52 is: 2,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.50 : 4,745.13 = 2,041.52 : x
  2. Step 2: Convert to fraction form
    3,438.50/4,745.13 = 2,041.52/x
  3. Step 3: Cross multiply
    3,438.50x = 4,745.13 × 2,041.52
  4. Step 4: Simplify right side
    3,438.50x = 9,687,277.80
  5. Step 5: Solve for x
    x = 9,687,277.80/3,438.50
  6. Step 6: Final answer
    x = 2,817.30

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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.