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Finding the Fourth Proportional to 5,497.61, 8,235.42 and 3,305.13

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Solution

The fourth proportional to 5,497.61, 8,235.42 and 3,305.13 is: 4,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.61 : 8,235.42 = 3,305.13 : x
  2. Step 2: Convert to fraction form
    5,497.61/8,235.42 = 3,305.13/x
  3. Step 3: Cross multiply
    5,497.61x = 8,235.42 × 3,305.13
  4. Step 4: Simplify right side
    5,497.61x = 27,219,133.70
  5. Step 5: Solve for x
    x = 27,219,133.70/5,497.61
  6. Step 6: Final answer
    x = 4,951.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.