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Finding the Fourth Proportional to 6,097.08, 8,428.14 and 5,440.44

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Solution

The fourth proportional to 6,097.08, 8,428.14 and 5,440.44 is: 7,520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.08 : 8,428.14 = 5,440.44 : x
  2. Step 2: Convert to fraction form
    6,097.08/8,428.14 = 5,440.44/x
  3. Step 3: Cross multiply
    6,097.08x = 8,428.14 × 5,440.44
  4. Step 4: Simplify right side
    6,097.08x = 45,852,789.98
  5. Step 5: Solve for x
    x = 45,852,789.98/6,097.08
  6. Step 6: Final answer
    x = 7,520.45

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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.