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Finding the Fourth Proportional to 3,864.87, 5,797.71 and 1,673.82

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Solution

The fourth proportional to 3,864.87, 5,797.71 and 1,673.82 is: 2,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.87 : 5,797.71 = 1,673.82 : x
  2. Step 2: Convert to fraction form
    3,864.87/5,797.71 = 1,673.82/x
  3. Step 3: Cross multiply
    3,864.87x = 5,797.71 × 1,673.82
  4. Step 4: Simplify right side
    3,864.87x = 9,704,322.95
  5. Step 5: Solve for x
    x = 9,704,322.95/3,864.87
  6. Step 6: Final answer
    x = 2,510.91

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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.