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Finding the Fourth Proportional to 3,897.84, 5,379.06 and 2,129.45

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Solution

The fourth proportional to 3,897.84, 5,379.06 and 2,129.45 is: 2,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.84 : 5,379.06 = 2,129.45 : x
  2. Step 2: Convert to fraction form
    3,897.84/5,379.06 = 2,129.45/x
  3. Step 3: Cross multiply
    3,897.84x = 5,379.06 × 2,129.45
  4. Step 4: Simplify right side
    3,897.84x = 11,454,438.69
  5. Step 5: Solve for x
    x = 11,454,438.69/3,897.84
  6. Step 6: Final answer
    x = 2,938.66

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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.