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Finding the Fourth Proportional to 3,650.38, 5,474.76 and 1,802.80

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Solution

The fourth proportional to 3,650.38, 5,474.76 and 1,802.80 is: 2,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.38 : 5,474.76 = 1,802.80 : x
  2. Step 2: Convert to fraction form
    3,650.38/5,474.76 = 1,802.80/x
  3. Step 3: Cross multiply
    3,650.38x = 5,474.76 × 1,802.80
  4. Step 4: Simplify right side
    3,650.38x = 9,869,897.33
  5. Step 5: Solve for x
    x = 9,869,897.33/3,650.38
  6. Step 6: Final answer
    x = 2,703.80

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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.