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Finding the Fourth Proportional to 5,082.72, 7,011.84 and 3,314.40

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Solution

The fourth proportional to 5,082.72, 7,011.84 and 3,314.40 is: 4,572.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.72 : 7,011.84 = 3,314.40 : x
  2. Step 2: Convert to fraction form
    5,082.72/7,011.84 = 3,314.40/x
  3. Step 3: Cross multiply
    5,082.72x = 7,011.84 × 3,314.40
  4. Step 4: Simplify right side
    5,082.72x = 23,240,042.50
  5. Step 5: Solve for x
    x = 23,240,042.50/5,082.72
  6. Step 6: Final answer
    x = 4,572.36

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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.