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Finding the Fourth Proportional to 4,082.59, 5,634.12 and 2,510.38

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Solution

The fourth proportional to 4,082.59, 5,634.12 and 2,510.38 is: 3,464.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.59 : 5,634.12 = 2,510.38 : x
  2. Step 2: Convert to fraction form
    4,082.59/5,634.12 = 2,510.38/x
  3. Step 3: Cross multiply
    4,082.59x = 5,634.12 × 2,510.38
  4. Step 4: Simplify right side
    4,082.59x = 14,143,782.17
  5. Step 5: Solve for x
    x = 14,143,782.17/4,082.59
  6. Step 6: Final answer
    x = 3,464.41

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Why These Related Problems?

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