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Finding the Fourth Proportional to 5,006.72, 7,509.72 and 2,233.64

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Solution

The fourth proportional to 5,006.72, 7,509.72 and 2,233.64 is: 3,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.72 : 7,509.72 = 2,233.64 : x
  2. Step 2: Convert to fraction form
    5,006.72/7,509.72 = 2,233.64/x
  3. Step 3: Cross multiply
    5,006.72x = 7,509.72 × 2,233.64
  4. Step 4: Simplify right side
    5,006.72x = 16,774,010.98
  5. Step 5: Solve for x
    x = 16,774,010.98/5,006.72
  6. Step 6: Final answer
    x = 3,350.30

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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.