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Finding the Fourth Proportional to 3,659.62, 5,486.10 and 1,349.50

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Solution

The fourth proportional to 3,659.62, 5,486.10 and 1,349.50 is: 2,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.62 : 5,486.10 = 1,349.50 : x
  2. Step 2: Convert to fraction form
    3,659.62/5,486.10 = 1,349.50/x
  3. Step 3: Cross multiply
    3,659.62x = 5,486.10 × 1,349.50
  4. Step 4: Simplify right side
    3,659.62x = 7,403,491.95
  5. Step 5: Solve for x
    x = 7,403,491.95/3,659.62
  6. Step 6: Final answer
    x = 2,023.02

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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.