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Finding the Fourth Proportional to 5,230.99, 7,846.10 and 2,458.29

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Solution

The fourth proportional to 5,230.99, 7,846.10 and 2,458.29 is: 3,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.99 : 7,846.10 = 2,458.29 : x
  2. Step 2: Convert to fraction form
    5,230.99/7,846.10 = 2,458.29/x
  3. Step 3: Cross multiply
    5,230.99x = 7,846.10 × 2,458.29
  4. Step 4: Simplify right side
    5,230.99x = 19,287,989.17
  5. Step 5: Solve for x
    x = 19,287,989.17/5,230.99
  6. Step 6: Final answer
    x = 3,687.25

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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.