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Finding the Fourth Proportional to 3,502.20, 5,318.16 and 3,502.20

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Solution

The fourth proportional to 3,502.20, 5,318.16 and 3,502.20 is: 5,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.20 : 5,318.16 = 3,502.20 : x
  2. Step 2: Convert to fraction form
    3,502.20/5,318.16 = 3,502.20/x
  3. Step 3: Cross multiply
    3,502.20x = 5,318.16 × 3,502.20
  4. Step 4: Simplify right side
    3,502.20x = 18,625,259.95
  5. Step 5: Solve for x
    x = 18,625,259.95/3,502.20
  6. Step 6: Final answer
    x = 5,318.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.