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Finding the Fourth Proportional to 3,667.15, 5,492.91 and 1,694.40

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Solution

The fourth proportional to 3,667.15, 5,492.91 and 1,694.40 is: 2,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.15 : 5,492.91 = 1,694.40 : x
  2. Step 2: Convert to fraction form
    3,667.15/5,492.91 = 1,694.40/x
  3. Step 3: Cross multiply
    3,667.15x = 5,492.91 × 1,694.40
  4. Step 4: Simplify right side
    3,667.15x = 9,307,186.70
  5. Step 5: Solve for x
    x = 9,307,186.70/3,667.15
  6. Step 6: Final answer
    x = 2,537.99

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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.