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Finding the Fourth Proportional to 5,498.10, 8,235.17 and 2,857.64

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Solution

The fourth proportional to 5,498.10, 8,235.17 and 2,857.64 is: 4,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.10 : 8,235.17 = 2,857.64 : x
  2. Step 2: Convert to fraction form
    5,498.10/8,235.17 = 2,857.64/x
  3. Step 3: Cross multiply
    5,498.10x = 8,235.17 × 2,857.64
  4. Step 4: Simplify right side
    5,498.10x = 23,533,095.73
  5. Step 5: Solve for x
    x = 23,533,095.73/5,498.10
  6. Step 6: Final answer
    x = 4,280.22

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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.