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Finding the Fourth Proportional to 5,108.86, 7,659.40 and 2,642.10

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Solution

The fourth proportional to 5,108.86, 7,659.40 and 2,642.10 is: 3,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.86 : 7,659.40 = 2,642.10 : x
  2. Step 2: Convert to fraction form
    5,108.86/7,659.40 = 2,642.10/x
  3. Step 3: Cross multiply
    5,108.86x = 7,659.40 × 2,642.10
  4. Step 4: Simplify right side
    5,108.86x = 20,236,900.74
  5. Step 5: Solve for x
    x = 20,236,900.74/5,108.86
  6. Step 6: Final answer
    x = 3,961.14

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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.