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Finding the Fourth Proportional to 4,200.71, 6,278.39 and 3,669.44

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Solution

The fourth proportional to 4,200.71, 6,278.39 and 3,669.44 is: 5,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.71 : 6,278.39 = 3,669.44 : x
  2. Step 2: Convert to fraction form
    4,200.71/6,278.39 = 3,669.44/x
  3. Step 3: Cross multiply
    4,200.71x = 6,278.39 × 3,669.44
  4. Step 4: Simplify right side
    4,200.71x = 23,038,172.75
  5. Step 5: Solve for x
    x = 23,038,172.75/4,200.71
  6. Step 6: Final answer
    x = 5,484.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.