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Finding the Fourth Proportional to 5,742.88, 8,616.53 and 2,235.36

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Solution

The fourth proportional to 5,742.88, 8,616.53 and 2,235.36 is: 3,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.88 : 8,616.53 = 2,235.36 : x
  2. Step 2: Convert to fraction form
    5,742.88/8,616.53 = 2,235.36/x
  3. Step 3: Cross multiply
    5,742.88x = 8,616.53 × 2,235.36
  4. Step 4: Simplify right side
    5,742.88x = 19,261,003.42
  5. Step 5: Solve for x
    x = 19,261,003.42/5,742.88
  6. Step 6: Final answer
    x = 3,353.90

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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.