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Finding the Fourth Proportional to 4,367.34, 6,022.14 and 3,802.77

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Solution

The fourth proportional to 4,367.34, 6,022.14 and 3,802.77 is: 5,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.34 : 6,022.14 = 3,802.77 : x
  2. Step 2: Convert to fraction form
    4,367.34/6,022.14 = 3,802.77/x
  3. Step 3: Cross multiply
    4,367.34x = 6,022.14 × 3,802.77
  4. Step 4: Simplify right side
    4,367.34x = 22,900,813.33
  5. Step 5: Solve for x
    x = 22,900,813.33/4,367.34
  6. Step 6: Final answer
    x = 5,243.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.