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Finding the Fourth Proportional to 5,230.08, 7,841.16 and 2,598.66

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Solution

The fourth proportional to 5,230.08, 7,841.16 and 2,598.66 is: 3,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.08 : 7,841.16 = 2,598.66 : x
  2. Step 2: Convert to fraction form
    5,230.08/7,841.16 = 2,598.66/x
  3. Step 3: Cross multiply
    5,230.08x = 7,841.16 × 2,598.66
  4. Step 4: Simplify right side
    5,230.08x = 20,376,508.85
  5. Step 5: Solve for x
    x = 20,376,508.85/5,230.08
  6. Step 6: Final answer
    x = 3,896.02

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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.