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Finding the Fourth Proportional to 5,243.76, 7,866.12 and 2,166

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Solution

The fourth proportional to 5,243.76, 7,866.12 and 2,166 is: 3,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.76 : 7,866.12 = 2,166 : x
  2. Step 2: Convert to fraction form
    5,243.76/7,866.12 = 2,166/x
  3. Step 3: Cross multiply
    5,243.76x = 7,866.12 × 2,166
  4. Step 4: Simplify right side
    5,243.76x = 17,038,015.92
  5. Step 5: Solve for x
    x = 17,038,015.92/5,243.76
  6. Step 6: Final answer
    x = 3,249.20

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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.