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Finding the Fourth Proportional to 5,105.62, 7,656.54 and 1,817.83

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Solution

The fourth proportional to 5,105.62, 7,656.54 and 1,817.83 is: 2,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.62 : 7,656.54 = 1,817.83 : x
  2. Step 2: Convert to fraction form
    5,105.62/7,656.54 = 1,817.83/x
  3. Step 3: Cross multiply
    5,105.62x = 7,656.54 × 1,817.83
  4. Step 4: Simplify right side
    5,105.62x = 13,918,288.11
  5. Step 5: Solve for x
    x = 13,918,288.11/5,105.62
  6. Step 6: Final answer
    x = 2,726.07

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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.