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Finding the Fourth Proportional to 3,474.72, 5,211.84 and 1,283.76

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Solution

The fourth proportional to 3,474.72, 5,211.84 and 1,283.76 is: 1,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.72 : 5,211.84 = 1,283.76 : x
  2. Step 2: Convert to fraction form
    3,474.72/5,211.84 = 1,283.76/x
  3. Step 3: Cross multiply
    3,474.72x = 5,211.84 × 1,283.76
  4. Step 4: Simplify right side
    3,474.72x = 6,690,751.72
  5. Step 5: Solve for x
    x = 6,690,751.72/3,474.72
  6. Step 6: Final answer
    x = 1,925.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.