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Finding the Fourth Proportional to 3,859.79, 5,326.43 and 2,367.77

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Solution

The fourth proportional to 3,859.79, 5,326.43 and 2,367.77 is: 3,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.79 : 5,326.43 = 2,367.77 : x
  2. Step 2: Convert to fraction form
    3,859.79/5,326.43 = 2,367.77/x
  3. Step 3: Cross multiply
    3,859.79x = 5,326.43 × 2,367.77
  4. Step 4: Simplify right side
    3,859.79x = 12,611,722.69
  5. Step 5: Solve for x
    x = 12,611,722.69/3,859.79
  6. Step 6: Final answer
    x = 3,267.47

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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.