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Finding the Fourth Proportional to 3,898.49, 5,833.76 and 3,637.80

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Solution

The fourth proportional to 3,898.49, 5,833.76 and 3,637.80 is: 5,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.49 : 5,833.76 = 3,637.80 : x
  2. Step 2: Convert to fraction form
    3,898.49/5,833.76 = 3,637.80/x
  3. Step 3: Cross multiply
    3,898.49x = 5,833.76 × 3,637.80
  4. Step 4: Simplify right side
    3,898.49x = 21,222,033.94
  5. Step 5: Solve for x
    x = 21,222,033.94/3,898.49
  6. Step 6: Final answer
    x = 5,443.66

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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.