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Finding the Fourth Proportional to 5,716.74, 8,573.48 and 2,595

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Solution

The fourth proportional to 5,716.74, 8,573.48 and 2,595 is: 3,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.74 : 8,573.48 = 2,595 : x
  2. Step 2: Convert to fraction form
    5,716.74/8,573.48 = 2,595/x
  3. Step 3: Cross multiply
    5,716.74x = 8,573.48 × 2,595
  4. Step 4: Simplify right side
    5,716.74x = 22,248,180.60
  5. Step 5: Solve for x
    x = 22,248,180.60/5,716.74
  6. Step 6: Final answer
    x = 3,891.76

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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.