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Finding the Fourth Proportional to 5,101.99, 7,645.68 and 2,906.18

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Solution

The fourth proportional to 5,101.99, 7,645.68 and 2,906.18 is: 4,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.99 : 7,645.68 = 2,906.18 : x
  2. Step 2: Convert to fraction form
    5,101.99/7,645.68 = 2,906.18/x
  3. Step 3: Cross multiply
    5,101.99x = 7,645.68 × 2,906.18
  4. Step 4: Simplify right side
    5,101.99x = 22,219,712.75
  5. Step 5: Solve for x
    x = 22,219,712.75/5,101.99
  6. Step 6: Final answer
    x = 4,355.11

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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.