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Finding the Fourth Proportional to 6,097.53, 8,414.85 and 3,444.94

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Solution

The fourth proportional to 6,097.53, 8,414.85 and 3,444.94 is: 4,754.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.53 : 8,414.85 = 3,444.94 : x
  2. Step 2: Convert to fraction form
    6,097.53/8,414.85 = 3,444.94/x
  3. Step 3: Cross multiply
    6,097.53x = 8,414.85 × 3,444.94
  4. Step 4: Simplify right side
    6,097.53x = 28,988,653.36
  5. Step 5: Solve for x
    x = 28,988,653.36/6,097.53
  6. Step 6: Final answer
    x = 4,754.16

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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.