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Finding the Fourth Proportional to 3,615.63, 5,424.25 and 1,537.42

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Solution

The fourth proportional to 3,615.63, 5,424.25 and 1,537.42 is: 2,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.63 : 5,424.25 = 1,537.42 : x
  2. Step 2: Convert to fraction form
    3,615.63/5,424.25 = 1,537.42/x
  3. Step 3: Cross multiply
    3,615.63x = 5,424.25 × 1,537.42
  4. Step 4: Simplify right side
    3,615.63x = 8,339,346.08
  5. Step 5: Solve for x
    x = 8,339,346.08/3,615.63
  6. Step 6: Final answer
    x = 2,306.47

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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.