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Finding the Fourth Proportional to 5,129.09, 7,690.88 and 2,657.78

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Solution

The fourth proportional to 5,129.09, 7,690.88 and 2,657.78 is: 3,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.09 : 7,690.88 = 2,657.78 : x
  2. Step 2: Convert to fraction form
    5,129.09/7,690.88 = 2,657.78/x
  3. Step 3: Cross multiply
    5,129.09x = 7,690.88 × 2,657.78
  4. Step 4: Simplify right side
    5,129.09x = 20,440,615.30
  5. Step 5: Solve for x
    x = 20,440,615.30/5,129.09
  6. Step 6: Final answer
    x = 3,985.24

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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.