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Finding the Fourth Proportional to 3,349.74, 5,024.85 and 884.54

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Solution

The fourth proportional to 3,349.74, 5,024.85 and 884.54 is: 1,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.74 : 5,024.85 = 884.54 : x
  2. Step 2: Convert to fraction form
    3,349.74/5,024.85 = 884.54/x
  3. Step 3: Cross multiply
    3,349.74x = 5,024.85 × 884.54
  4. Step 4: Simplify right side
    3,349.74x = 4,444,655.69
  5. Step 5: Solve for x
    x = 4,444,655.69/3,349.74
  6. Step 6: Final answer
    x = 1,326.87

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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.