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Finding the Fourth Proportional to 4,438, 6,659.43 and 2,129.50

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Solution

The fourth proportional to 4,438, 6,659.43 and 2,129.50 is: 3,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438 : 6,659.43 = 2,129.50 : x
  2. Step 2: Convert to fraction form
    4,438/6,659.43 = 2,129.50/x
  3. Step 3: Cross multiply
    4,438x = 6,659.43 × 2,129.50
  4. Step 4: Simplify right side
    4,438x = 14,181,256.19
  5. Step 5: Solve for x
    x = 14,181,256.19/4,438
  6. Step 6: Final answer
    x = 3,195.42

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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.