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Finding the Fourth Proportional to 5,806.12, 8,005.38 and 5,057.32

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Solution

The fourth proportional to 5,806.12, 8,005.38 and 5,057.32 is: 6,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.12 : 8,005.38 = 5,057.32 : x
  2. Step 2: Convert to fraction form
    5,806.12/8,005.38 = 5,057.32/x
  3. Step 3: Cross multiply
    5,806.12x = 8,005.38 × 5,057.32
  4. Step 4: Simplify right side
    5,806.12x = 40,485,768.38
  5. Step 5: Solve for x
    x = 40,485,768.38/5,806.12
  6. Step 6: Final answer
    x = 6,972.95

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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.