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Finding the Fourth Proportional to 3,567, 4,920.14 and 2,239.54

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Solution

The fourth proportional to 3,567, 4,920.14 and 2,239.54 is: 3,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567 : 4,920.14 = 2,239.54 : x
  2. Step 2: Convert to fraction form
    3,567/4,920.14 = 2,239.54/x
  3. Step 3: Cross multiply
    3,567x = 4,920.14 × 2,239.54
  4. Step 4: Simplify right side
    3,567x = 11,018,850.34
  5. Step 5: Solve for x
    x = 11,018,850.34/3,567
  6. Step 6: Final answer
    x = 3,089.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.