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Finding the Fourth Proportional to 3,658.12, 5,483.94 and 1,349.08

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Solution

The fourth proportional to 3,658.12, 5,483.94 and 1,349.08 is: 2,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.12 : 5,483.94 = 1,349.08 : x
  2. Step 2: Convert to fraction form
    3,658.12/5,483.94 = 1,349.08/x
  3. Step 3: Cross multiply
    3,658.12x = 5,483.94 × 1,349.08
  4. Step 4: Simplify right side
    3,658.12x = 7,398,273.78
  5. Step 5: Solve for x
    x = 7,398,273.78/3,658.12
  6. Step 6: Final answer
    x = 2,022.43

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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.