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Finding the Fourth Proportional to 3,543.68, 4,854.89 and 3,410.70

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Solution

The fourth proportional to 3,543.68, 4,854.89 and 3,410.70 is: 4,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.68 : 4,854.89 = 3,410.70 : x
  2. Step 2: Convert to fraction form
    3,543.68/4,854.89 = 3,410.70/x
  3. Step 3: Cross multiply
    3,543.68x = 4,854.89 × 3,410.70
  4. Step 4: Simplify right side
    3,543.68x = 16,558,556.27
  5. Step 5: Solve for x
    x = 16,558,556.27/3,543.68
  6. Step 6: Final answer
    x = 4,672.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.