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Finding the Fourth Proportional to 4,686.26, 7,024.50 and 2,218.14

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Solution

The fourth proportional to 4,686.26, 7,024.50 and 2,218.14 is: 3,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.26 : 7,024.50 = 2,218.14 : x
  2. Step 2: Convert to fraction form
    4,686.26/7,024.50 = 2,218.14/x
  3. Step 3: Cross multiply
    4,686.26x = 7,024.50 × 2,218.14
  4. Step 4: Simplify right side
    4,686.26x = 15,581,324.43
  5. Step 5: Solve for x
    x = 15,581,324.43/4,686.26
  6. Step 6: Final answer
    x = 3,324.90

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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.