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Finding the Fourth Proportional to 5,082.17, 7,602.19 and 4,771.13

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Solution

The fourth proportional to 5,082.17, 7,602.19 and 4,771.13 is: 7,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.17 : 7,602.19 = 4,771.13 : x
  2. Step 2: Convert to fraction form
    5,082.17/7,602.19 = 4,771.13/x
  3. Step 3: Cross multiply
    5,082.17x = 7,602.19 × 4,771.13
  4. Step 4: Simplify right side
    5,082.17x = 36,270,986.84
  5. Step 5: Solve for x
    x = 36,270,986.84/5,082.17
  6. Step 6: Final answer
    x = 7,136.92

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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.