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Finding the Fourth Proportional to 3,613.69, 5,420.72 and 1,016.83

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Solution

The fourth proportional to 3,613.69, 5,420.72 and 1,016.83 is: 1,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.69 : 5,420.72 = 1,016.83 : x
  2. Step 2: Convert to fraction form
    3,613.69/5,420.72 = 1,016.83/x
  3. Step 3: Cross multiply
    3,613.69x = 5,420.72 × 1,016.83
  4. Step 4: Simplify right side
    3,613.69x = 5,511,950.72
  5. Step 5: Solve for x
    x = 5,511,950.72/3,613.69
  6. Step 6: Final answer
    x = 1,525.30

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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.