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Finding the Fourth Proportional to 4,713, 7,066.38 and 2,248.20

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Solution

The fourth proportional to 4,713, 7,066.38 and 2,248.20 is: 3,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713 : 7,066.38 = 2,248.20 : x
  2. Step 2: Convert to fraction form
    4,713/7,066.38 = 2,248.20/x
  3. Step 3: Cross multiply
    4,713x = 7,066.38 × 2,248.20
  4. Step 4: Simplify right side
    4,713x = 15,886,635.52
  5. Step 5: Solve for x
    x = 15,886,635.52/4,713
  6. Step 6: Final answer
    x = 3,370.81

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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.