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Finding the Fourth Proportional to 5,906.77, 8,848.01 and 4,266.61

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Solution

The fourth proportional to 5,906.77, 8,848.01 and 4,266.61 is: 6,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.77 : 8,848.01 = 4,266.61 : x
  2. Step 2: Convert to fraction form
    5,906.77/8,848.01 = 4,266.61/x
  3. Step 3: Cross multiply
    5,906.77x = 8,848.01 × 4,266.61
  4. Step 4: Simplify right side
    5,906.77x = 37,751,024.73
  5. Step 5: Solve for x
    x = 37,751,024.73/5,906.77
  6. Step 6: Final answer
    x = 6,391.14

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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.