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Finding the Fourth Proportional to 4,502.96, 6,213.69 and 2,909.67

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Solution

The fourth proportional to 4,502.96, 6,213.69 and 2,909.67 is: 4,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.96 : 6,213.69 = 2,909.67 : x
  2. Step 2: Convert to fraction form
    4,502.96/6,213.69 = 2,909.67/x
  3. Step 3: Cross multiply
    4,502.96x = 6,213.69 × 2,909.67
  4. Step 4: Simplify right side
    4,502.96x = 18,079,787.38
  5. Step 5: Solve for x
    x = 18,079,787.38/4,502.96
  6. Step 6: Final answer
    x = 4,015.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.