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Finding the Fourth Proportional to 4,221.96, 5,826.30 and 2,453.67

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Solution

The fourth proportional to 4,221.96, 5,826.30 and 2,453.67 is: 3,386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.96 : 5,826.30 = 2,453.67 : x
  2. Step 2: Convert to fraction form
    4,221.96/5,826.30 = 2,453.67/x
  3. Step 3: Cross multiply
    4,221.96x = 5,826.30 × 2,453.67
  4. Step 4: Simplify right side
    4,221.96x = 14,295,817.52
  5. Step 5: Solve for x
    x = 14,295,817.52/4,221.96
  6. Step 6: Final answer
    x = 3,386.06

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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.