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Finding the Fourth Proportional to 4,860.24, 7,281.96 and 3,826.84

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Solution

The fourth proportional to 4,860.24, 7,281.96 and 3,826.84 is: 5,733.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,860.24 : 7,281.96 = 3,826.84 : x
  2. Step 2: Convert to fraction form
    4,860.24/7,281.96 = 3,826.84/x
  3. Step 3: Cross multiply
    4,860.24x = 7,281.96 × 3,826.84
  4. Step 4: Simplify right side
    4,860.24x = 27,866,895.81
  5. Step 5: Solve for x
    x = 27,866,895.81/4,860.24
  6. Step 6: Final answer
    x = 5,733.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.