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Finding the Fourth Proportional to 4,113.88, 6,171.12 and 1,192.20

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Solution

The fourth proportional to 4,113.88, 6,171.12 and 1,192.20 is: 1,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.88 : 6,171.12 = 1,192.20 : x
  2. Step 2: Convert to fraction form
    4,113.88/6,171.12 = 1,192.20/x
  3. Step 3: Cross multiply
    4,113.88x = 6,171.12 × 1,192.20
  4. Step 4: Simplify right side
    4,113.88x = 7,357,209.26
  5. Step 5: Solve for x
    x = 7,357,209.26/4,113.88
  6. Step 6: Final answer
    x = 1,788.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.