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Finding the Fourth Proportional to 3,006, 4,148.64 and 2,306.16

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Solution

The fourth proportional to 3,006, 4,148.64 and 2,306.16 is: 3,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006 : 4,148.64 = 2,306.16 : x
  2. Step 2: Convert to fraction form
    3,006/4,148.64 = 2,306.16/x
  3. Step 3: Cross multiply
    3,006x = 4,148.64 × 2,306.16
  4. Step 4: Simplify right side
    3,006x = 9,567,427.62
  5. Step 5: Solve for x
    x = 9,567,427.62/3,006
  6. Step 6: Final answer
    x = 3,182.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.