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Finding the Fourth Proportional to 5,806.95, 8,013.60 and 3,154.38

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Solution

The fourth proportional to 5,806.95, 8,013.60 and 3,154.38 is: 4,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.95 : 8,013.60 = 3,154.38 : x
  2. Step 2: Convert to fraction form
    5,806.95/8,013.60 = 3,154.38/x
  3. Step 3: Cross multiply
    5,806.95x = 8,013.60 × 3,154.38
  4. Step 4: Simplify right side
    5,806.95x = 25,277,939.57
  5. Step 5: Solve for x
    x = 25,277,939.57/5,806.95
  6. Step 6: Final answer
    x = 4,353.05

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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.