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Finding the Fourth Proportional to 5,693.84, 8,544.36 and 2,231

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Solution

The fourth proportional to 5,693.84, 8,544.36 and 2,231 is: 3,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.84 : 8,544.36 = 2,231 : x
  2. Step 2: Convert to fraction form
    5,693.84/8,544.36 = 2,231/x
  3. Step 3: Cross multiply
    5,693.84x = 8,544.36 × 2,231
  4. Step 4: Simplify right side
    5,693.84x = 19,062,467.16
  5. Step 5: Solve for x
    x = 19,062,467.16/5,693.84
  6. Step 6: Final answer
    x = 3,347.91

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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.