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Finding the Fourth Proportional to 4,002.72, 5,999.92 and 1,664

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Solution

The fourth proportional to 4,002.72, 5,999.92 and 1,664 is: 2,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.72 : 5,999.92 = 1,664 : x
  2. Step 2: Convert to fraction form
    4,002.72/5,999.92 = 1,664/x
  3. Step 3: Cross multiply
    4,002.72x = 5,999.92 × 1,664
  4. Step 4: Simplify right side
    4,002.72x = 9,983,866.88
  5. Step 5: Solve for x
    x = 9,983,866.88/4,002.72
  6. Step 6: Final answer
    x = 2,494.27

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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.