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Finding the Fourth Proportional to 5,455.22, 7,542.15 and 4,200.42

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Solution

The fourth proportional to 5,455.22, 7,542.15 and 4,200.42 is: 5,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.22 : 7,542.15 = 4,200.42 : x
  2. Step 2: Convert to fraction form
    5,455.22/7,542.15 = 4,200.42/x
  3. Step 3: Cross multiply
    5,455.22x = 7,542.15 × 4,200.42
  4. Step 4: Simplify right side
    5,455.22x = 31,680,197.70
  5. Step 5: Solve for x
    x = 31,680,197.70/5,455.22
  6. Step 6: Final answer
    x = 5,807.32

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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.