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Finding the Fourth Proportional to 3,438.26, 4,745.14 and 1,946.57

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Solution

The fourth proportional to 3,438.26, 4,745.14 and 1,946.57 is: 2,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.26 : 4,745.14 = 1,946.57 : x
  2. Step 2: Convert to fraction form
    3,438.26/4,745.14 = 1,946.57/x
  3. Step 3: Cross multiply
    3,438.26x = 4,745.14 × 1,946.57
  4. Step 4: Simplify right side
    3,438.26x = 9,236,754.17
  5. Step 5: Solve for x
    x = 9,236,754.17/3,438.26
  6. Step 6: Final answer
    x = 2,686.47

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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.