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Finding the Fourth Proportional to 5,832.21, 8,721.71 and 4,352.47

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Solution

The fourth proportional to 5,832.21, 8,721.71 and 4,352.47 is: 6,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.21 : 8,721.71 = 4,352.47 : x
  2. Step 2: Convert to fraction form
    5,832.21/8,721.71 = 4,352.47/x
  3. Step 3: Cross multiply
    5,832.21x = 8,721.71 × 4,352.47
  4. Step 4: Simplify right side
    5,832.21x = 37,960,981.12
  5. Step 5: Solve for x
    x = 37,960,981.12/5,832.21
  6. Step 6: Final answer
    x = 6,508.85

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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.