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Finding the Fourth Proportional to 3,672.39, 5,509.26 and 1,207.90

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Solution

The fourth proportional to 3,672.39, 5,509.26 and 1,207.90 is: 1,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.39 : 5,509.26 = 1,207.90 : x
  2. Step 2: Convert to fraction form
    3,672.39/5,509.26 = 1,207.90/x
  3. Step 3: Cross multiply
    3,672.39x = 5,509.26 × 1,207.90
  4. Step 4: Simplify right side
    3,672.39x = 6,654,635.15
  5. Step 5: Solve for x
    x = 6,654,635.15/3,672.39
  6. Step 6: Final answer
    x = 1,812.07

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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.