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Finding the Fourth Proportional to 5,822.52, 8,732.34 and 3,630.12

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Solution

The fourth proportional to 5,822.52, 8,732.34 and 3,630.12 is: 5,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.52 : 8,732.34 = 3,630.12 : x
  2. Step 2: Convert to fraction form
    5,822.52/8,732.34 = 3,630.12/x
  3. Step 3: Cross multiply
    5,822.52x = 8,732.34 × 3,630.12
  4. Step 4: Simplify right side
    5,822.52x = 31,699,442.08
  5. Step 5: Solve for x
    x = 31,699,442.08/5,822.52
  6. Step 6: Final answer
    x = 5,444.28

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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.