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Finding the Fourth Proportional to 5,863.68, 8,797.80 and 2,574.44

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Solution

The fourth proportional to 5,863.68, 8,797.80 and 2,574.44 is: 3,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.68 : 8,797.80 = 2,574.44 : x
  2. Step 2: Convert to fraction form
    5,863.68/8,797.80 = 2,574.44/x
  3. Step 3: Cross multiply
    5,863.68x = 8,797.80 × 2,574.44
  4. Step 4: Simplify right side
    5,863.68x = 22,649,364.24
  5. Step 5: Solve for x
    x = 22,649,364.24/5,863.68
  6. Step 6: Final answer
    x = 3,862.65

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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.