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Finding the Fourth Proportional to 5,126.81, 7,690.86 and 2,006.42

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Solution

The fourth proportional to 5,126.81, 7,690.86 and 2,006.42 is: 3,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.81 : 7,690.86 = 2,006.42 : x
  2. Step 2: Convert to fraction form
    5,126.81/7,690.86 = 2,006.42/x
  3. Step 3: Cross multiply
    5,126.81x = 7,690.86 × 2,006.42
  4. Step 4: Simplify right side
    5,126.81x = 15,431,075.05
  5. Step 5: Solve for x
    x = 15,431,075.05/5,126.81
  6. Step 6: Final answer
    x = 3,009.88

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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.