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Finding the Fourth Proportional to 5,746.30, 7,932.91 and 3,867.76

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Solution

The fourth proportional to 5,746.30, 7,932.91 and 3,867.76 is: 5,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.30 : 7,932.91 = 3,867.76 : x
  2. Step 2: Convert to fraction form
    5,746.30/7,932.91 = 3,867.76/x
  3. Step 3: Cross multiply
    5,746.30x = 7,932.91 × 3,867.76
  4. Step 4: Simplify right side
    5,746.30x = 30,682,552.32
  5. Step 5: Solve for x
    x = 30,682,552.32/5,746.30
  6. Step 6: Final answer
    x = 5,339.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.