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Finding the Fourth Proportional to 3,400.44, 4,689.90 and 2,156.28

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Solution

The fourth proportional to 3,400.44, 4,689.90 and 2,156.28 is: 2,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.44 : 4,689.90 = 2,156.28 : x
  2. Step 2: Convert to fraction form
    3,400.44/4,689.90 = 2,156.28/x
  3. Step 3: Cross multiply
    3,400.44x = 4,689.90 × 2,156.28
  4. Step 4: Simplify right side
    3,400.44x = 10,112,737.57
  5. Step 5: Solve for x
    x = 10,112,737.57/3,400.44
  6. Step 6: Final answer
    x = 2,973.95

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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.