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Finding the Fourth Proportional to 3,697.65, 5,100.84 and 2,502.68

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Solution

The fourth proportional to 3,697.65, 5,100.84 and 2,502.68 is: 3,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.65 : 5,100.84 = 2,502.68 : x
  2. Step 2: Convert to fraction form
    3,697.65/5,100.84 = 2,502.68/x
  3. Step 3: Cross multiply
    3,697.65x = 5,100.84 × 2,502.68
  4. Step 4: Simplify right side
    3,697.65x = 12,765,744.75
  5. Step 5: Solve for x
    x = 12,765,744.75/3,697.65
  6. Step 6: Final answer
    x = 3,452.39

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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.