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Finding the Fourth Proportional to 6,398.58, 8,829.77 and 3,565.80

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Solution

The fourth proportional to 6,398.58, 8,829.77 and 3,565.80 is: 4,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.58 : 8,829.77 = 3,565.80 : x
  2. Step 2: Convert to fraction form
    6,398.58/8,829.77 = 3,565.80/x
  3. Step 3: Cross multiply
    6,398.58x = 8,829.77 × 3,565.80
  4. Step 4: Simplify right side
    6,398.58x = 31,485,176.04
  5. Step 5: Solve for x
    x = 31,485,176.04/6,398.58
  6. Step 6: Final answer
    x = 4,920.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.