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Finding the Fourth Proportional to 3,006.06, 4,509.52 and 926.24

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Solution

The fourth proportional to 3,006.06, 4,509.52 and 926.24 is: 1,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.06 : 4,509.52 = 926.24 : x
  2. Step 2: Convert to fraction form
    3,006.06/4,509.52 = 926.24/x
  3. Step 3: Cross multiply
    3,006.06x = 4,509.52 × 926.24
  4. Step 4: Simplify right side
    3,006.06x = 4,176,872.94
  5. Step 5: Solve for x
    x = 4,176,872.94/3,006.06
  6. Step 6: Final answer
    x = 1,389.48

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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.