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Finding the Fourth Proportional to 6,196.52, 9,289.92 and 2,907.92

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Solution

The fourth proportional to 6,196.52, 9,289.92 and 2,907.92 is: 4,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.52 : 9,289.92 = 2,907.92 : x
  2. Step 2: Convert to fraction form
    6,196.52/9,289.92 = 2,907.92/x
  3. Step 3: Cross multiply
    6,196.52x = 9,289.92 × 2,907.92
  4. Step 4: Simplify right side
    6,196.52x = 27,014,344.17
  5. Step 5: Solve for x
    x = 27,014,344.17/6,196.52
  6. Step 6: Final answer
    x = 4,359.60

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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.