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Finding the Fourth Proportional to 6,398.15, 8,829.38 and 3,565.49

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Solution

The fourth proportional to 6,398.15, 8,829.38 and 3,565.49 is: 4,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.15 : 8,829.38 = 3,565.49 : x
  2. Step 2: Convert to fraction form
    6,398.15/8,829.38 = 3,565.49/x
  3. Step 3: Cross multiply
    6,398.15x = 8,829.38 × 3,565.49
  4. Step 4: Simplify right side
    6,398.15x = 31,481,048.27
  5. Step 5: Solve for x
    x = 31,481,048.27/6,398.15
  6. Step 6: Final answer
    x = 4,920.34

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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.