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Finding the Fourth Proportional to 4,616.03, 6,919.94 and 1,693.65

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Solution

The fourth proportional to 4,616.03, 6,919.94 and 1,693.65 is: 2,538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.03 : 6,919.94 = 1,693.65 : x
  2. Step 2: Convert to fraction form
    4,616.03/6,919.94 = 1,693.65/x
  3. Step 3: Cross multiply
    4,616.03x = 6,919.94 × 1,693.65
  4. Step 4: Simplify right side
    4,616.03x = 11,719,938.11
  5. Step 5: Solve for x
    x = 11,719,938.11/4,616.03
  6. Step 6: Final answer
    x = 2,538.97

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Why These Related Problems?

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