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Finding the Fourth Proportional to 5,806.97, 8,013.63 and 3,154.34

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Solution

The fourth proportional to 5,806.97, 8,013.63 and 3,154.34 is: 4,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.97 : 8,013.63 = 3,154.34 : x
  2. Step 2: Convert to fraction form
    5,806.97/8,013.63 = 3,154.34/x
  3. Step 3: Cross multiply
    5,806.97x = 8,013.63 × 3,154.34
  4. Step 4: Simplify right side
    5,806.97x = 25,277,713.65
  5. Step 5: Solve for x
    x = 25,277,713.65/5,806.97
  6. Step 6: Final answer
    x = 4,353.00

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