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Finding the Fourth Proportional to 3,859.52, 5,323.74 and 2,286.50

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Solution

The fourth proportional to 3,859.52, 5,323.74 and 2,286.50 is: 3,153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.52 : 5,323.74 = 2,286.50 : x
  2. Step 2: Convert to fraction form
    3,859.52/5,323.74 = 2,286.50/x
  3. Step 3: Cross multiply
    3,859.52x = 5,323.74 × 2,286.50
  4. Step 4: Simplify right side
    3,859.52x = 12,172,731.51
  5. Step 5: Solve for x
    x = 12,172,731.51/3,859.52
  6. Step 6: Final answer
    x = 3,153.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.