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Finding the Fourth Proportional to 3,474.84, 5,211.72 and 1,283.07

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Solution

The fourth proportional to 3,474.84, 5,211.72 and 1,283.07 is: 1,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.84 : 5,211.72 = 1,283.07 : x
  2. Step 2: Convert to fraction form
    3,474.84/5,211.72 = 1,283.07/x
  3. Step 3: Cross multiply
    3,474.84x = 5,211.72 × 1,283.07
  4. Step 4: Simplify right side
    3,474.84x = 6,687,001.58
  5. Step 5: Solve for x
    x = 6,687,001.58/3,474.84
  6. Step 6: Final answer
    x = 1,924.41

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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.