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Finding the Fourth Proportional to 3,859.05, 5,325.50 and 2,265.39

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Solution

The fourth proportional to 3,859.05, 5,325.50 and 2,265.39 is: 3,126.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.05 : 5,325.50 = 2,265.39 : x
  2. Step 2: Convert to fraction form
    3,859.05/5,325.50 = 2,265.39/x
  3. Step 3: Cross multiply
    3,859.05x = 5,325.50 × 2,265.39
  4. Step 4: Simplify right side
    3,859.05x = 12,064,327.37
  5. Step 5: Solve for x
    x = 12,064,327.37/3,859.05
  6. Step 6: Final answer
    x = 3,126.24

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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.