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Finding the Fourth Proportional to 5,082.90, 7,625.97 and 1,798.08

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Solution

The fourth proportional to 5,082.90, 7,625.97 and 1,798.08 is: 2,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.90 : 7,625.97 = 1,798.08 : x
  2. Step 2: Convert to fraction form
    5,082.90/7,625.97 = 1,798.08/x
  3. Step 3: Cross multiply
    5,082.90x = 7,625.97 × 1,798.08
  4. Step 4: Simplify right side
    5,082.90x = 13,712,104.14
  5. Step 5: Solve for x
    x = 13,712,104.14/5,082.90
  6. Step 6: Final answer
    x = 2,697.69

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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.