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Finding the Fourth Proportional to 5,671.35, 7,826.46 and 3,313.02

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Solution

The fourth proportional to 5,671.35, 7,826.46 and 3,313.02 is: 4,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.35 : 7,826.46 = 3,313.02 : x
  2. Step 2: Convert to fraction form
    5,671.35/7,826.46 = 3,313.02/x
  3. Step 3: Cross multiply
    5,671.35x = 7,826.46 × 3,313.02
  4. Step 4: Simplify right side
    5,671.35x = 25,929,218.51
  5. Step 5: Solve for x
    x = 25,929,218.51/5,671.35
  6. Step 6: Final answer
    x = 4,571.97

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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.