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Finding the Fourth Proportional to 3,464.62, 5,196.72 and 1,516.82

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Solution

The fourth proportional to 3,464.62, 5,196.72 and 1,516.82 is: 2,275.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.62 : 5,196.72 = 1,516.82 : x
  2. Step 2: Convert to fraction form
    3,464.62/5,196.72 = 1,516.82/x
  3. Step 3: Cross multiply
    3,464.62x = 5,196.72 × 1,516.82
  4. Step 4: Simplify right side
    3,464.62x = 7,882,488.83
  5. Step 5: Solve for x
    x = 7,882,488.83/3,464.62
  6. Step 6: Final answer
    x = 2,275.14

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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.