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Finding the Fourth Proportional to 5,236.66, 7,865.92 and 4,416.54

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Solution

The fourth proportional to 5,236.66, 7,865.92 and 4,416.54 is: 6,634.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.66 : 7,865.92 = 4,416.54 : x
  2. Step 2: Convert to fraction form
    5,236.66/7,865.92 = 4,416.54/x
  3. Step 3: Cross multiply
    5,236.66x = 7,865.92 × 4,416.54
  4. Step 4: Simplify right side
    5,236.66x = 34,740,150.32
  5. Step 5: Solve for x
    x = 34,740,150.32/5,236.66
  6. Step 6: Final answer
    x = 6,634.03

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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.