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Finding the Fourth Proportional to 5,086.07, 7,626.17 and 1,575.14

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Solution

The fourth proportional to 5,086.07, 7,626.17 and 1,575.14 is: 2,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.07 : 7,626.17 = 1,575.14 : x
  2. Step 2: Convert to fraction form
    5,086.07/7,626.17 = 1,575.14/x
  3. Step 3: Cross multiply
    5,086.07x = 7,626.17 × 1,575.14
  4. Step 4: Simplify right side
    5,086.07x = 12,012,277.54
  5. Step 5: Solve for x
    x = 12,012,277.54/5,086.07
  6. Step 6: Final answer
    x = 2,361.80

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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.