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Finding the Fourth Proportional to 5,340.98, 8,008.27 and 2,217.22

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Solution

The fourth proportional to 5,340.98, 8,008.27 and 2,217.22 is: 3,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.98 : 8,008.27 = 2,217.22 : x
  2. Step 2: Convert to fraction form
    5,340.98/8,008.27 = 2,217.22/x
  3. Step 3: Cross multiply
    5,340.98x = 8,008.27 × 2,217.22
  4. Step 4: Simplify right side
    5,340.98x = 17,756,068.07
  5. Step 5: Solve for x
    x = 17,756,068.07/5,340.98
  6. Step 6: Final answer
    x = 3,324.49

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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.