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Finding the Fourth Proportional to 3,592.46, 5,388.89 and 1,646.03

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Solution

The fourth proportional to 3,592.46, 5,388.89 and 1,646.03 is: 2,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.46 : 5,388.89 = 1,646.03 : x
  2. Step 2: Convert to fraction form
    3,592.46/5,388.89 = 1,646.03/x
  3. Step 3: Cross multiply
    3,592.46x = 5,388.89 × 1,646.03
  4. Step 4: Simplify right side
    3,592.46x = 8,870,274.61
  5. Step 5: Solve for x
    x = 8,870,274.61/3,592.46
  6. Step 6: Final answer
    x = 2,469.14

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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.