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Finding the Fourth Proportional to 3,658.38, 5,484.30 and 1,349.34

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Solution

The fourth proportional to 3,658.38, 5,484.30 and 1,349.34 is: 2,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.38 : 5,484.30 = 1,349.34 : x
  2. Step 2: Convert to fraction form
    3,658.38/5,484.30 = 1,349.34/x
  3. Step 3: Cross multiply
    3,658.38x = 5,484.30 × 1,349.34
  4. Step 4: Simplify right side
    3,658.38x = 7,400,185.36
  5. Step 5: Solve for x
    x = 7,400,185.36/3,658.38
  6. Step 6: Final answer
    x = 2,022.80

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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.