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Finding the Fourth Proportional to 6,089.97, 8,404.32 and 3,437.43

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Solution

The fourth proportional to 6,089.97, 8,404.32 and 3,437.43 is: 4,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.97 : 8,404.32 = 3,437.43 : x
  2. Step 2: Convert to fraction form
    6,089.97/8,404.32 = 3,437.43/x
  3. Step 3: Cross multiply
    6,089.97x = 8,404.32 × 3,437.43
  4. Step 4: Simplify right side
    6,089.97x = 28,889,261.70
  5. Step 5: Solve for x
    x = 28,889,261.70/6,089.97
  6. Step 6: Final answer
    x = 4,743.74

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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.