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Finding the Fourth Proportional to 5,202.52, 7,807.52 and 2,080.72

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Solution

The fourth proportional to 5,202.52, 7,807.52 and 2,080.72 is: 3,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.52 : 7,807.52 = 2,080.72 : x
  2. Step 2: Convert to fraction form
    5,202.52/7,807.52 = 2,080.72/x
  3. Step 3: Cross multiply
    5,202.52x = 7,807.52 × 2,080.72
  4. Step 4: Simplify right side
    5,202.52x = 16,245,263.01
  5. Step 5: Solve for x
    x = 16,245,263.01/5,202.52
  6. Step 6: Final answer
    x = 3,122.58

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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.