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Finding the Fourth Proportional to 4,113.62, 6,171.42 and 1,192.14

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Solution

The fourth proportional to 4,113.62, 6,171.42 and 1,192.14 is: 1,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.62 : 6,171.42 = 1,192.14 : x
  2. Step 2: Convert to fraction form
    4,113.62/6,171.42 = 1,192.14/x
  3. Step 3: Cross multiply
    4,113.62x = 6,171.42 × 1,192.14
  4. Step 4: Simplify right side
    4,113.62x = 7,357,196.64
  5. Step 5: Solve for x
    x = 7,357,196.64/4,113.62
  6. Step 6: Final answer
    x = 1,788.50

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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.