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Finding the Fourth Proportional to 3,474.95, 5,211.90 and 1,283.28

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Solution

The fourth proportional to 3,474.95, 5,211.90 and 1,283.28 is: 1,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.95 : 5,211.90 = 1,283.28 : x
  2. Step 2: Convert to fraction form
    3,474.95/5,211.90 = 1,283.28/x
  3. Step 3: Cross multiply
    3,474.95x = 5,211.90 × 1,283.28
  4. Step 4: Simplify right side
    3,474.95x = 6,688,327.03
  5. Step 5: Solve for x
    x = 6,688,327.03/3,474.95
  6. Step 6: Final answer
    x = 1,924.73

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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.