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Finding the Fourth Proportional to 3,006.56, 4,509.96 and 1,033.54

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Solution

The fourth proportional to 3,006.56, 4,509.96 and 1,033.54 is: 1,550.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.56 : 4,509.96 = 1,033.54 : x
  2. Step 2: Convert to fraction form
    3,006.56/4,509.96 = 1,033.54/x
  3. Step 3: Cross multiply
    3,006.56x = 4,509.96 × 1,033.54
  4. Step 4: Simplify right side
    3,006.56x = 4,661,224.06
  5. Step 5: Solve for x
    x = 4,661,224.06/3,006.56
  6. Step 6: Final answer
    x = 1,550.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.