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Finding the Fourth Proportional to 5,646.30, 8,468.02 and 2,524.56

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Solution

The fourth proportional to 5,646.30, 8,468.02 and 2,524.56 is: 3,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.30 : 8,468.02 = 2,524.56 : x
  2. Step 2: Convert to fraction form
    5,646.30/8,468.02 = 2,524.56/x
  3. Step 3: Cross multiply
    5,646.30x = 8,468.02 × 2,524.56
  4. Step 4: Simplify right side
    5,646.30x = 21,378,024.57
  5. Step 5: Solve for x
    x = 21,378,024.57/5,646.30
  6. Step 6: Final answer
    x = 3,786.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.