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Finding the Fourth Proportional to 3,346.32, 5,015.96 and 2,114.48

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Solution

The fourth proportional to 3,346.32, 5,015.96 and 2,114.48 is: 3,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.32 : 5,015.96 = 2,114.48 : x
  2. Step 2: Convert to fraction form
    3,346.32/5,015.96 = 2,114.48/x
  3. Step 3: Cross multiply
    3,346.32x = 5,015.96 × 2,114.48
  4. Step 4: Simplify right side
    3,346.32x = 10,606,147.10
  5. Step 5: Solve for x
    x = 10,606,147.10/3,346.32
  6. Step 6: Final answer
    x = 3,169.50

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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.