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Finding the Fourth Proportional to 3,699.39, 5,548.68 and 1,102.14

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Solution

The fourth proportional to 3,699.39, 5,548.68 and 1,102.14 is: 1,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.39 : 5,548.68 = 1,102.14 : x
  2. Step 2: Convert to fraction form
    3,699.39/5,548.68 = 1,102.14/x
  3. Step 3: Cross multiply
    3,699.39x = 5,548.68 × 1,102.14
  4. Step 4: Simplify right side
    3,699.39x = 6,115,422.18
  5. Step 5: Solve for x
    x = 6,115,422.18/3,699.39
  6. Step 6: Final answer
    x = 1,653.09

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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.