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Finding the Fourth Proportional to 7,202.79, 10,794.80 and 3,689.82

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Solution

The fourth proportional to 7,202.79, 10,794.80 and 3,689.82 is: 5,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.79 : 10,794.80 = 3,689.82 : x
  2. Step 2: Convert to fraction form
    7,202.79/10,794.80 = 3,689.82/x
  3. Step 3: Cross multiply
    7,202.79x = 10,794.80 × 3,689.82
  4. Step 4: Simplify right side
    7,202.79x = 39,830,878.16
  5. Step 5: Solve for x
    x = 39,830,878.16/7,202.79
  6. Step 6: Final answer
    x = 5,529.92

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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.