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Finding the Fourth Proportional to 5,985.92, 8,252.01 and 4,212.02

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Solution

The fourth proportional to 5,985.92, 8,252.01 and 4,212.02 is: 5,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.92 : 8,252.01 = 4,212.02 : x
  2. Step 2: Convert to fraction form
    5,985.92/8,252.01 = 4,212.02/x
  3. Step 3: Cross multiply
    5,985.92x = 8,252.01 × 4,212.02
  4. Step 4: Simplify right side
    5,985.92x = 34,757,631.16
  5. Step 5: Solve for x
    x = 34,757,631.16/5,985.92
  6. Step 6: Final answer
    x = 5,806.56

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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.