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Finding the Fourth Proportional to 3,616.01, 5,424.81 and 1,537.80

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Solution

The fourth proportional to 3,616.01, 5,424.81 and 1,537.80 is: 2,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.01 : 5,424.81 = 1,537.80 : x
  2. Step 2: Convert to fraction form
    3,616.01/5,424.81 = 1,537.80/x
  3. Step 3: Cross multiply
    3,616.01x = 5,424.81 × 1,537.80
  4. Step 4: Simplify right side
    3,616.01x = 8,342,249.54
  5. Step 5: Solve for x
    x = 8,342,249.54/3,616.01
  6. Step 6: Final answer
    x = 2,307.03

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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.