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Finding the Fourth Proportional to 5,806.74, 8,013.47 and 3,154.32

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Solution

The fourth proportional to 5,806.74, 8,013.47 and 3,154.32 is: 4,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.74 : 8,013.47 = 3,154.32 : x
  2. Step 2: Convert to fraction form
    5,806.74/8,013.47 = 3,154.32/x
  3. Step 3: Cross multiply
    5,806.74x = 8,013.47 × 3,154.32
  4. Step 4: Simplify right side
    5,806.74x = 25,277,048.69
  5. Step 5: Solve for x
    x = 25,277,048.69/5,806.74
  6. Step 6: Final answer
    x = 4,353.05

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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.