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Finding the Fourth Proportional to 5,922.16, 8,874.76 and 4,349.82

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Solution

The fourth proportional to 5,922.16, 8,874.76 and 4,349.82 is: 6,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.16 : 8,874.76 = 4,349.82 : x
  2. Step 2: Convert to fraction form
    5,922.16/8,874.76 = 4,349.82/x
  3. Step 3: Cross multiply
    5,922.16x = 8,874.76 × 4,349.82
  4. Step 4: Simplify right side
    5,922.16x = 38,603,608.54
  5. Step 5: Solve for x
    x = 38,603,608.54/5,922.16
  6. Step 6: Final answer
    x = 6,518.50

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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.