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Finding the Fourth Proportional to 3,904.73, 5,856.22 and 1,130.80

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Solution

The fourth proportional to 3,904.73, 5,856.22 and 1,130.80 is: 1,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.73 : 5,856.22 = 1,130.80 : x
  2. Step 2: Convert to fraction form
    3,904.73/5,856.22 = 1,130.80/x
  3. Step 3: Cross multiply
    3,904.73x = 5,856.22 × 1,130.80
  4. Step 4: Simplify right side
    3,904.73x = 6,622,213.58
  5. Step 5: Solve for x
    x = 6,622,213.58/3,904.73
  6. Step 6: Final answer
    x = 1,695.95

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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.