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Finding the Fourth Proportional to 3,426, 5,139.72 and 1,374

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Solution

The fourth proportional to 3,426, 5,139.72 and 1,374 is: 2,061.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426 : 5,139.72 = 1,374 : x
  2. Step 2: Convert to fraction form
    3,426/5,139.72 = 1,374/x
  3. Step 3: Cross multiply
    3,426x = 5,139.72 × 1,374
  4. Step 4: Simplify right side
    3,426x = 7,061,975.28
  5. Step 5: Solve for x
    x = 7,061,975.28/3,426
  6. Step 6: Final answer
    x = 2,061.29

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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.