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Finding the Fourth Proportional to 5,108.39, 7,663.03 and 1,410.62

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Solution

The fourth proportional to 5,108.39, 7,663.03 and 1,410.62 is: 2,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.39 : 7,663.03 = 1,410.62 : x
  2. Step 2: Convert to fraction form
    5,108.39/7,663.03 = 1,410.62/x
  3. Step 3: Cross multiply
    5,108.39x = 7,663.03 × 1,410.62
  4. Step 4: Simplify right side
    5,108.39x = 10,809,616.33
  5. Step 5: Solve for x
    x = 10,809,616.33/5,108.39
  6. Step 6: Final answer
    x = 2,116.05

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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.