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Finding the Fourth Proportional to 5,688.52, 7,850.14 and 3,204.52

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Solution

The fourth proportional to 5,688.52, 7,850.14 and 3,204.52 is: 4,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.52 : 7,850.14 = 3,204.52 : x
  2. Step 2: Convert to fraction form
    5,688.52/7,850.14 = 3,204.52/x
  3. Step 3: Cross multiply
    5,688.52x = 7,850.14 × 3,204.52
  4. Step 4: Simplify right side
    5,688.52x = 25,155,930.63
  5. Step 5: Solve for x
    x = 25,155,930.63/5,688.52
  6. Step 6: Final answer
    x = 4,422.23

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Why These Related Problems?

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