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Finding the Fourth Proportional to 4,485.76, 6,728.14 and 1,199.14

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Solution

The fourth proportional to 4,485.76, 6,728.14 and 1,199.14 is: 1,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,485.76 : 6,728.14 = 1,199.14 : x
  2. Step 2: Convert to fraction form
    4,485.76/6,728.14 = 1,199.14/x
  3. Step 3: Cross multiply
    4,485.76x = 6,728.14 × 1,199.14
  4. Step 4: Simplify right side
    4,485.76x = 8,067,981.80
  5. Step 5: Solve for x
    x = 8,067,981.80/4,485.76
  6. Step 6: Final answer
    x = 1,798.58

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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.