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Finding the Fourth Proportional to 3,097.62, 4,648.16 and 2,405.69

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Solution

The fourth proportional to 3,097.62, 4,648.16 and 2,405.69 is: 3,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.62 : 4,648.16 = 2,405.69 : x
  2. Step 2: Convert to fraction form
    3,097.62/4,648.16 = 2,405.69/x
  3. Step 3: Cross multiply
    3,097.62x = 4,648.16 × 2,405.69
  4. Step 4: Simplify right side
    3,097.62x = 11,181,996.76
  5. Step 5: Solve for x
    x = 11,181,996.76/3,097.62
  6. Step 6: Final answer
    x = 3,609.87

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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.