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Finding the Fourth Proportional to 5,785.50, 8,678.67 and 2,322.75

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Solution

The fourth proportional to 5,785.50, 8,678.67 and 2,322.75 is: 3,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.50 : 8,678.67 = 2,322.75 : x
  2. Step 2: Convert to fraction form
    5,785.50/8,678.67 = 2,322.75/x
  3. Step 3: Cross multiply
    5,785.50x = 8,678.67 × 2,322.75
  4. Step 4: Simplify right side
    5,785.50x = 20,158,380.74
  5. Step 5: Solve for x
    x = 20,158,380.74/5,785.50
  6. Step 6: Final answer
    x = 3,484.29

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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.