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Finding the Fourth Proportional to 6,097.18, 8,414.09 and 3,444.59

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Solution

The fourth proportional to 6,097.18, 8,414.09 and 3,444.59 is: 4,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.18 : 8,414.09 = 3,444.59 : x
  2. Step 2: Convert to fraction form
    6,097.18/8,414.09 = 3,444.59/x
  3. Step 3: Cross multiply
    6,097.18x = 8,414.09 × 3,444.59
  4. Step 4: Simplify right side
    6,097.18x = 28,983,043.90
  5. Step 5: Solve for x
    x = 28,983,043.90/6,097.18
  6. Step 6: Final answer
    x = 4,753.52

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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.