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Finding the Fourth Proportional to 5,082.14, 7,623.16 and 1,384.31

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Solution

The fourth proportional to 5,082.14, 7,623.16 and 1,384.31 is: 2,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.14 : 7,623.16 = 1,384.31 : x
  2. Step 2: Convert to fraction form
    5,082.14/7,623.16 = 1,384.31/x
  3. Step 3: Cross multiply
    5,082.14x = 7,623.16 × 1,384.31
  4. Step 4: Simplify right side
    5,082.14x = 10,552,794.10
  5. Step 5: Solve for x
    x = 10,552,794.10/5,082.14
  6. Step 6: Final answer
    x = 2,076.45

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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.