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Finding the Fourth Proportional to 3,694.57, 5,548.46 and 3,545.93

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Solution

The fourth proportional to 3,694.57, 5,548.46 and 3,545.93 is: 5,325.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.57 : 5,548.46 = 3,545.93 : x
  2. Step 2: Convert to fraction form
    3,694.57/5,548.46 = 3,545.93/x
  3. Step 3: Cross multiply
    3,694.57x = 5,548.46 × 3,545.93
  4. Step 4: Simplify right side
    3,694.57x = 19,674,431.89
  5. Step 5: Solve for x
    x = 19,674,431.89/3,694.57
  6. Step 6: Final answer
    x = 5,325.23

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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.