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Finding the Fourth Proportional to 6,277.42, 8,662.77 and 3,444.82

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Solution

The fourth proportional to 6,277.42, 8,662.77 and 3,444.82 is: 4,753.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.42 : 8,662.77 = 3,444.82 : x
  2. Step 2: Convert to fraction form
    6,277.42/8,662.77 = 3,444.82/x
  3. Step 3: Cross multiply
    6,277.42x = 8,662.77 × 3,444.82
  4. Step 4: Simplify right side
    6,277.42x = 29,841,670.31
  5. Step 5: Solve for x
    x = 29,841,670.31/6,277.42
  6. Step 6: Final answer
    x = 4,753.81

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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.