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Finding the Fourth Proportional to 3,529.52, 5,289.36 and 3,006.80

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Solution

The fourth proportional to 3,529.52, 5,289.36 and 3,006.80 is: 4,506.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.52 : 5,289.36 = 3,006.80 : x
  2. Step 2: Convert to fraction form
    3,529.52/5,289.36 = 3,006.80/x
  3. Step 3: Cross multiply
    3,529.52x = 5,289.36 × 3,006.80
  4. Step 4: Simplify right side
    3,529.52x = 15,904,047.65
  5. Step 5: Solve for x
    x = 15,904,047.65/3,529.52
  6. Step 6: Final answer
    x = 4,506.01

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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.