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Finding the Fourth Proportional to 6,089.97, 8,404.14 and 3,295.47

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Solution

The fourth proportional to 6,089.97, 8,404.14 and 3,295.47 is: 4,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.97 : 8,404.14 = 3,295.47 : x
  2. Step 2: Convert to fraction form
    6,089.97/8,404.14 = 3,295.47/x
  3. Step 3: Cross multiply
    6,089.97x = 8,404.14 × 3,295.47
  4. Step 4: Simplify right side
    6,089.97x = 27,695,591.25
  5. Step 5: Solve for x
    x = 27,695,591.25/6,089.97
  6. Step 6: Final answer
    x = 4,547.74

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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.