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Finding the Fourth Proportional to 5,173.72, 7,759.14 and 2,095

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Solution

The fourth proportional to 5,173.72, 7,759.14 and 2,095 is: 3,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.72 : 7,759.14 = 2,095 : x
  2. Step 2: Convert to fraction form
    5,173.72/7,759.14 = 2,095/x
  3. Step 3: Cross multiply
    5,173.72x = 7,759.14 × 2,095
  4. Step 4: Simplify right side
    5,173.72x = 16,255,398.30
  5. Step 5: Solve for x
    x = 16,255,398.30/5,173.72
  6. Step 6: Final answer
    x = 3,141.92

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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.