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Finding the Fourth Proportional to 3,665.16, 5,496.37 and 1,473.14

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Solution

The fourth proportional to 3,665.16, 5,496.37 and 1,473.14 is: 2,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.16 : 5,496.37 = 1,473.14 : x
  2. Step 2: Convert to fraction form
    3,665.16/5,496.37 = 1,473.14/x
  3. Step 3: Cross multiply
    3,665.16x = 5,496.37 × 1,473.14
  4. Step 4: Simplify right side
    3,665.16x = 8,096,915.14
  5. Step 5: Solve for x
    x = 8,096,915.14/3,665.16
  6. Step 6: Final answer
    x = 2,209.16

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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.