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Finding the Fourth Proportional to 4,807.09, 7,209.14 and 2,033.72

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Solution

The fourth proportional to 4,807.09, 7,209.14 and 2,033.72 is: 3,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.09 : 7,209.14 = 2,033.72 : x
  2. Step 2: Convert to fraction form
    4,807.09/7,209.14 = 2,033.72/x
  3. Step 3: Cross multiply
    4,807.09x = 7,209.14 × 2,033.72
  4. Step 4: Simplify right side
    4,807.09x = 14,661,336.16
  5. Step 5: Solve for x
    x = 14,661,336.16/4,807.09
  6. Step 6: Final answer
    x = 3,049.94

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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.