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Finding the Fourth Proportional to 3,709.96, 5,560.32 and 3,246.64

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Solution

The fourth proportional to 3,709.96, 5,560.32 and 3,246.64 is: 4,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.96 : 5,560.32 = 3,246.64 : x
  2. Step 2: Convert to fraction form
    3,709.96/5,560.32 = 3,246.64/x
  3. Step 3: Cross multiply
    3,709.96x = 5,560.32 × 3,246.64
  4. Step 4: Simplify right side
    3,709.96x = 18,052,357.32
  5. Step 5: Solve for x
    x = 18,052,357.32/3,709.96
  6. Step 6: Final answer
    x = 4,865.92

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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.