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Finding the Fourth Proportional to 6,277.63, 8,662.22 and 4,042.54

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Solution

The fourth proportional to 6,277.63, 8,662.22 and 4,042.54 is: 5,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.63 : 8,662.22 = 4,042.54 : x
  2. Step 2: Convert to fraction form
    6,277.63/8,662.22 = 4,042.54/x
  3. Step 3: Cross multiply
    6,277.63x = 8,662.22 × 4,042.54
  4. Step 4: Simplify right side
    6,277.63x = 35,017,327.53
  5. Step 5: Solve for x
    x = 35,017,327.53/6,277.63
  6. Step 6: Final answer
    x = 5,578.11

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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.