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Finding the Fourth Proportional to 3,454.94, 5,178.56 and 1,374.39

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Solution

The fourth proportional to 3,454.94, 5,178.56 and 1,374.39 is: 2,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.94 : 5,178.56 = 1,374.39 : x
  2. Step 2: Convert to fraction form
    3,454.94/5,178.56 = 1,374.39/x
  3. Step 3: Cross multiply
    3,454.94x = 5,178.56 × 1,374.39
  4. Step 4: Simplify right side
    3,454.94x = 7,117,361.08
  5. Step 5: Solve for x
    x = 7,117,361.08/3,454.94
  6. Step 6: Final answer
    x = 2,060.05

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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.