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Finding the Fourth Proportional to 4,243.87, 6,368.28 and 1,778.47

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Solution

The fourth proportional to 4,243.87, 6,368.28 and 1,778.47 is: 2,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.87 : 6,368.28 = 1,778.47 : x
  2. Step 2: Convert to fraction form
    4,243.87/6,368.28 = 1,778.47/x
  3. Step 3: Cross multiply
    4,243.87x = 6,368.28 × 1,778.47
  4. Step 4: Simplify right side
    4,243.87x = 11,325,794.93
  5. Step 5: Solve for x
    x = 11,325,794.93/4,243.87
  6. Step 6: Final answer
    x = 2,668.74

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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.