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Finding the Fourth Proportional to 3,897.91, 5,381.54 and 2,482.39

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Solution

The fourth proportional to 3,897.91, 5,381.54 and 2,482.39 is: 3,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.91 : 5,381.54 = 2,482.39 : x
  2. Step 2: Convert to fraction form
    3,897.91/5,381.54 = 2,482.39/x
  3. Step 3: Cross multiply
    3,897.91x = 5,381.54 × 2,482.39
  4. Step 4: Simplify right side
    3,897.91x = 13,359,081.08
  5. Step 5: Solve for x
    x = 13,359,081.08/3,897.91
  6. Step 6: Final answer
    x = 3,427.24

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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.