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Finding the Fourth Proportional to 4,826.62, 7,240.56 and 1,363.96

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Solution

The fourth proportional to 4,826.62, 7,240.56 and 1,363.96 is: 2,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.62 : 7,240.56 = 1,363.96 : x
  2. Step 2: Convert to fraction form
    4,826.62/7,240.56 = 1,363.96/x
  3. Step 3: Cross multiply
    4,826.62x = 7,240.56 × 1,363.96
  4. Step 4: Simplify right side
    4,826.62x = 9,875,834.22
  5. Step 5: Solve for x
    x = 9,875,834.22/4,826.62
  6. Step 6: Final answer
    x = 2,046.12

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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.