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Finding the Fourth Proportional to 5,218.15, 7,828.58 and 1,520.29

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Solution

The fourth proportional to 5,218.15, 7,828.58 and 1,520.29 is: 2,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.15 : 7,828.58 = 1,520.29 : x
  2. Step 2: Convert to fraction form
    5,218.15/7,828.58 = 1,520.29/x
  3. Step 3: Cross multiply
    5,218.15x = 7,828.58 × 1,520.29
  4. Step 4: Simplify right side
    5,218.15x = 11,901,704.29
  5. Step 5: Solve for x
    x = 11,901,704.29/5,218.15
  6. Step 6: Final answer
    x = 2,280.83

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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.