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Finding the Fourth Proportional to 5,242.66, 7,861.83 and 2,162.50

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Solution

The fourth proportional to 5,242.66, 7,861.83 and 2,162.50 is: 3,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.66 : 7,861.83 = 2,162.50 : x
  2. Step 2: Convert to fraction form
    5,242.66/7,861.83 = 2,162.50/x
  3. Step 3: Cross multiply
    5,242.66x = 7,861.83 × 2,162.50
  4. Step 4: Simplify right side
    5,242.66x = 17,001,207.38
  5. Step 5: Solve for x
    x = 17,001,207.38/5,242.66
  6. Step 6: Final answer
    x = 3,242.86

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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.