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Finding the Fourth Proportional to 3,542.12, 5,302.90 and 3,166.90

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Solution

The fourth proportional to 3,542.12, 5,302.90 and 3,166.90 is: 4,741.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.12 : 5,302.90 = 3,166.90 : x
  2. Step 2: Convert to fraction form
    3,542.12/5,302.90 = 3,166.90/x
  3. Step 3: Cross multiply
    3,542.12x = 5,302.90 × 3,166.90
  4. Step 4: Simplify right side
    3,542.12x = 16,793,754.01
  5. Step 5: Solve for x
    x = 16,793,754.01/3,542.12
  6. Step 6: Final answer
    x = 4,741.16

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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.