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Finding the Fourth Proportional to 6,400.74, 8,833.03 and 3,568.05

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Solution

The fourth proportional to 6,400.74, 8,833.03 and 3,568.05 is: 4,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.74 : 8,833.03 = 3,568.05 : x
  2. Step 2: Convert to fraction form
    6,400.74/8,833.03 = 3,568.05/x
  3. Step 3: Cross multiply
    6,400.74x = 8,833.03 × 3,568.05
  4. Step 4: Simplify right side
    6,400.74x = 31,516,692.69
  5. Step 5: Solve for x
    x = 31,516,692.69/6,400.74
  6. Step 6: Final answer
    x = 4,923.91

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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.