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Finding the Fourth Proportional to 3,592.14, 5,390.01 and 1,644.06

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Solution

The fourth proportional to 3,592.14, 5,390.01 and 1,644.06 is: 2,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.14 : 5,390.01 = 1,644.06 : x
  2. Step 2: Convert to fraction form
    3,592.14/5,390.01 = 1,644.06/x
  3. Step 3: Cross multiply
    3,592.14x = 5,390.01 × 1,644.06
  4. Step 4: Simplify right side
    3,592.14x = 8,861,499.84
  5. Step 5: Solve for x
    x = 8,861,499.84/3,592.14
  6. Step 6: Final answer
    x = 2,466.91

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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.