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Finding the Fourth Proportional to 3,301.51, 4,952.27 and 3,082.81

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Solution

The fourth proportional to 3,301.51, 4,952.27 and 3,082.81 is: 4,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.51 : 4,952.27 = 3,082.81 : x
  2. Step 2: Convert to fraction form
    3,301.51/4,952.27 = 3,082.81/x
  3. Step 3: Cross multiply
    3,301.51x = 4,952.27 × 3,082.81
  4. Step 4: Simplify right side
    3,301.51x = 15,266,892.06
  5. Step 5: Solve for x
    x = 15,266,892.06/3,301.51
  6. Step 6: Final answer
    x = 4,624.22

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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.