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Finding the Fourth Proportional to 3,670.92, 5,508.36 and 1,723.14

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Solution

The fourth proportional to 3,670.92, 5,508.36 and 1,723.14 is: 2,585.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.92 : 5,508.36 = 1,723.14 : x
  2. Step 2: Convert to fraction form
    3,670.92/5,508.36 = 1,723.14/x
  3. Step 3: Cross multiply
    3,670.92x = 5,508.36 × 1,723.14
  4. Step 4: Simplify right side
    3,670.92x = 9,491,675.45
  5. Step 5: Solve for x
    x = 9,491,675.45/3,670.92
  6. Step 6: Final answer
    x = 2,585.64

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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.