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Finding the Fourth Proportional to 4,822.74, 6,649.20 and 3,826.31

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Solution

The fourth proportional to 4,822.74, 6,649.20 and 3,826.31 is: 5,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.74 : 6,649.20 = 3,826.31 : x
  2. Step 2: Convert to fraction form
    4,822.74/6,649.20 = 3,826.31/x
  3. Step 3: Cross multiply
    4,822.74x = 6,649.20 × 3,826.31
  4. Step 4: Simplify right side
    4,822.74x = 25,441,867.21
  5. Step 5: Solve for x
    x = 25,441,867.21/4,822.74
  6. Step 6: Final answer
    x = 5,275.40

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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.