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Finding the Fourth Proportional to 6,218.26, 8,582.02 and 3,565.15

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Solution

The fourth proportional to 6,218.26, 8,582.02 and 3,565.15 is: 4,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.26 : 8,582.02 = 3,565.15 : x
  2. Step 2: Convert to fraction form
    6,218.26/8,582.02 = 3,565.15/x
  3. Step 3: Cross multiply
    6,218.26x = 8,582.02 × 3,565.15
  4. Step 4: Simplify right side
    6,218.26x = 30,596,179.69
  5. Step 5: Solve for x
    x = 30,596,179.69/6,218.26
  6. Step 6: Final answer
    x = 4,920.38

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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.