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Finding the Fourth Proportional to 4,871.67, 6,720.75 and 3,826.77

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Solution

The fourth proportional to 4,871.67, 6,720.75 and 3,826.77 is: 5,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.67 : 6,720.75 = 3,826.77 : x
  2. Step 2: Convert to fraction form
    4,871.67/6,720.75 = 3,826.77/x
  3. Step 3: Cross multiply
    4,871.67x = 6,720.75 × 3,826.77
  4. Step 4: Simplify right side
    4,871.67x = 25,718,764.48
  5. Step 5: Solve for x
    x = 25,718,764.48/4,871.67
  6. Step 6: Final answer
    x = 5,279.25

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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.