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Finding the Fourth Proportional to 5,689.84, 8,538.36 and 2,227

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Solution

The fourth proportional to 5,689.84, 8,538.36 and 2,227 is: 3,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.84 : 8,538.36 = 2,227 : x
  2. Step 2: Convert to fraction form
    5,689.84/8,538.36 = 2,227/x
  3. Step 3: Cross multiply
    5,689.84x = 8,538.36 × 2,227
  4. Step 4: Simplify right side
    5,689.84x = 19,014,927.72
  5. Step 5: Solve for x
    x = 19,014,927.72/5,689.84
  6. Step 6: Final answer
    x = 3,341.91

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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.