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Finding the Fourth Proportional to 5,027.70, 7,538.52 and 2,253.87

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Solution

The fourth proportional to 5,027.70, 7,538.52 and 2,253.87 is: 3,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,027.70 : 7,538.52 = 2,253.87 : x
  2. Step 2: Convert to fraction form
    5,027.70/7,538.52 = 2,253.87/x
  3. Step 3: Cross multiply
    5,027.70x = 7,538.52 × 2,253.87
  4. Step 4: Simplify right side
    5,027.70x = 16,990,844.07
  5. Step 5: Solve for x
    x = 16,990,844.07/5,027.70
  6. Step 6: Final answer
    x = 3,379.45

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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.