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Finding the Fourth Proportional to 3,897.33, 5,848.95 and 2,859.96

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Solution

The fourth proportional to 3,897.33, 5,848.95 and 2,859.96 is: 4,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.33 : 5,848.95 = 2,859.96 : x
  2. Step 2: Convert to fraction form
    3,897.33/5,848.95 = 2,859.96/x
  3. Step 3: Cross multiply
    3,897.33x = 5,848.95 × 2,859.96
  4. Step 4: Simplify right side
    3,897.33x = 16,727,763.04
  5. Step 5: Solve for x
    x = 16,727,763.04/3,897.33
  6. Step 6: Final answer
    x = 4,292.11

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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.