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Finding the Fourth Proportional to 6,802.52, 10,199.64 and 3,053.60

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Solution

The fourth proportional to 6,802.52, 10,199.64 and 3,053.60 is: 4,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.52 : 10,199.64 = 3,053.60 : x
  2. Step 2: Convert to fraction form
    6,802.52/10,199.64 = 3,053.60/x
  3. Step 3: Cross multiply
    6,802.52x = 10,199.64 × 3,053.60
  4. Step 4: Simplify right side
    6,802.52x = 31,145,620.70
  5. Step 5: Solve for x
    x = 31,145,620.70/6,802.52
  6. Step 6: Final answer
    x = 4,578.54

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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.