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Finding the Fourth Proportional to 4,659.62, 6,989.42 and 1,196.88

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Solution

The fourth proportional to 4,659.62, 6,989.42 and 1,196.88 is: 1,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.62 : 6,989.42 = 1,196.88 : x
  2. Step 2: Convert to fraction form
    4,659.62/6,989.42 = 1,196.88/x
  3. Step 3: Cross multiply
    4,659.62x = 6,989.42 × 1,196.88
  4. Step 4: Simplify right side
    4,659.62x = 8,365,497.01
  5. Step 5: Solve for x
    x = 8,365,497.01/4,659.62
  6. Step 6: Final answer
    x = 1,795.32

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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.