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Finding the Fourth Proportional to 3,613.14, 5,420.06 and 1,016.10

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Solution

The fourth proportional to 3,613.14, 5,420.06 and 1,016.10 is: 1,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.14 : 5,420.06 = 1,016.10 : x
  2. Step 2: Convert to fraction form
    3,613.14/5,420.06 = 1,016.10/x
  3. Step 3: Cross multiply
    3,613.14x = 5,420.06 × 1,016.10
  4. Step 4: Simplify right side
    3,613.14x = 5,507,322.97
  5. Step 5: Solve for x
    x = 5,507,322.97/3,613.14
  6. Step 6: Final answer
    x = 1,524.25

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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.