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Finding the Fourth Proportional to 5,174.74, 7,755.19 and 2,538.21

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Solution

The fourth proportional to 5,174.74, 7,755.19 and 2,538.21 is: 3,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.74 : 7,755.19 = 2,538.21 : x
  2. Step 2: Convert to fraction form
    5,174.74/7,755.19 = 2,538.21/x
  3. Step 3: Cross multiply
    5,174.74x = 7,755.19 × 2,538.21
  4. Step 4: Simplify right side
    5,174.74x = 19,684,300.81
  5. Step 5: Solve for x
    x = 19,684,300.81/5,174.74
  6. Step 6: Final answer
    x = 3,803.92

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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.