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Finding the Fourth Proportional to 3,543.63, 5,287.76 and 3,174.68

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Solution

The fourth proportional to 3,543.63, 5,287.76 and 3,174.68 is: 4,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.63 : 5,287.76 = 3,174.68 : x
  2. Step 2: Convert to fraction form
    3,543.63/5,287.76 = 3,174.68/x
  3. Step 3: Cross multiply
    3,543.63x = 5,287.76 × 3,174.68
  4. Step 4: Simplify right side
    3,543.63x = 16,786,903.60
  5. Step 5: Solve for x
    x = 16,786,903.60/3,543.63
  6. Step 6: Final answer
    x = 4,737.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.