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Finding the Fourth Proportional to 5,235.51, 7,224.81 and 3,082.02

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Solution

The fourth proportional to 5,235.51, 7,224.81 and 3,082.02 is: 4,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.51 : 7,224.81 = 3,082.02 : x
  2. Step 2: Convert to fraction form
    5,235.51/7,224.81 = 3,082.02/x
  3. Step 3: Cross multiply
    5,235.51x = 7,224.81 × 3,082.02
  4. Step 4: Simplify right side
    5,235.51x = 22,267,008.92
  5. Step 5: Solve for x
    x = 22,267,008.92/5,235.51
  6. Step 6: Final answer
    x = 4,253.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.