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Finding the Fourth Proportional to 5,224.24, 7,835.98 and 2,451.54

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Solution

The fourth proportional to 5,224.24, 7,835.98 and 2,451.54 is: 3,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.24 : 7,835.98 = 2,451.54 : x
  2. Step 2: Convert to fraction form
    5,224.24/7,835.98 = 2,451.54/x
  3. Step 3: Cross multiply
    5,224.24x = 7,835.98 × 2,451.54
  4. Step 4: Simplify right side
    5,224.24x = 19,210,218.41
  5. Step 5: Solve for x
    x = 19,210,218.41/5,224.24
  6. Step 6: Final answer
    x = 3,677.13

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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.