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Finding the Fourth Proportional to 5,748.68, 8,624.10 and 2,286.20

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Solution

The fourth proportional to 5,748.68, 8,624.10 and 2,286.20 is: 3,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.68 : 8,624.10 = 2,286.20 : x
  2. Step 2: Convert to fraction form
    5,748.68/8,624.10 = 2,286.20/x
  3. Step 3: Cross multiply
    5,748.68x = 8,624.10 × 2,286.20
  4. Step 4: Simplify right side
    5,748.68x = 19,716,417.42
  5. Step 5: Solve for x
    x = 19,716,417.42/5,748.68
  6. Step 6: Final answer
    x = 3,429.73

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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.