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Finding the Fourth Proportional to 5,734.80, 7,913.70 and 3,377.70

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Solution

The fourth proportional to 5,734.80, 7,913.70 and 3,377.70 is: 4,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.80 : 7,913.70 = 3,377.70 : x
  2. Step 2: Convert to fraction form
    5,734.80/7,913.70 = 3,377.70/x
  3. Step 3: Cross multiply
    5,734.80x = 7,913.70 × 3,377.70
  4. Step 4: Simplify right side
    5,734.80x = 26,730,104.49
  5. Step 5: Solve for x
    x = 26,730,104.49/5,734.80
  6. Step 6: Final answer
    x = 4,661.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.