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Finding the Fourth Proportional to 5,731.36, 8,599.04 and 2,266.72

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Solution

The fourth proportional to 5,731.36, 8,599.04 and 2,266.72 is: 3,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.36 : 8,599.04 = 2,266.72 : x
  2. Step 2: Convert to fraction form
    5,731.36/8,599.04 = 2,266.72/x
  3. Step 3: Cross multiply
    5,731.36x = 8,599.04 × 2,266.72
  4. Step 4: Simplify right side
    5,731.36x = 19,491,615.95
  5. Step 5: Solve for x
    x = 19,491,615.95/5,731.36
  6. Step 6: Final answer
    x = 3,400.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.