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Finding the Fourth Proportional to 3,382.72, 4,700.36 and 3,346.72

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Solution

The fourth proportional to 3,382.72, 4,700.36 and 3,346.72 is: 4,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.72 : 4,700.36 = 3,346.72 : x
  2. Step 2: Convert to fraction form
    3,382.72/4,700.36 = 3,346.72/x
  3. Step 3: Cross multiply
    3,382.72x = 4,700.36 × 3,346.72
  4. Step 4: Simplify right side
    3,382.72x = 15,730,788.82
  5. Step 5: Solve for x
    x = 15,730,788.82/3,382.72
  6. Step 6: Final answer
    x = 4,650.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.