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Finding the Fourth Proportional to 3,699.35, 5,105.15 and 2,208.13

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Solution

The fourth proportional to 3,699.35, 5,105.15 and 2,208.13 is: 3,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.35 : 5,105.15 = 2,208.13 : x
  2. Step 2: Convert to fraction form
    3,699.35/5,105.15 = 2,208.13/x
  3. Step 3: Cross multiply
    3,699.35x = 5,105.15 × 2,208.13
  4. Step 4: Simplify right side
    3,699.35x = 11,272,834.87
  5. Step 5: Solve for x
    x = 11,272,834.87/3,699.35
  6. Step 6: Final answer
    x = 3,047.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.