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Finding the Fourth Proportional to 5,715.24, 8,573.10 and 2,796

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Solution

The fourth proportional to 5,715.24, 8,573.10 and 2,796 is: 4,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.24 : 8,573.10 = 2,796 : x
  2. Step 2: Convert to fraction form
    5,715.24/8,573.10 = 2,796/x
  3. Step 3: Cross multiply
    5,715.24x = 8,573.10 × 2,796
  4. Step 4: Simplify right side
    5,715.24x = 23,970,387.60
  5. Step 5: Solve for x
    x = 23,970,387.60/5,715.24
  6. Step 6: Final answer
    x = 4,194.12

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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.