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Finding the Fourth Proportional to 5,824.08, 8,035.90 and 4,883.66

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Solution

The fourth proportional to 5,824.08, 8,035.90 and 4,883.66 is: 6,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.08 : 8,035.90 = 4,883.66 : x
  2. Step 2: Convert to fraction form
    5,824.08/8,035.90 = 4,883.66/x
  3. Step 3: Cross multiply
    5,824.08x = 8,035.90 × 4,883.66
  4. Step 4: Simplify right side
    5,824.08x = 39,244,603.39
  5. Step 5: Solve for x
    x = 39,244,603.39/5,824.08
  6. Step 6: Final answer
    x = 6,738.34

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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.