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Finding the Fourth Proportional to 6,277.98, 8,663.64 and 3,625.83

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Solution

The fourth proportional to 6,277.98, 8,663.64 and 3,625.83 is: 5,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.98 : 8,663.64 = 3,625.83 : x
  2. Step 2: Convert to fraction form
    6,277.98/8,663.64 = 3,625.83/x
  3. Step 3: Cross multiply
    6,277.98x = 8,663.64 × 3,625.83
  4. Step 4: Simplify right side
    6,277.98x = 31,412,885.82
  5. Step 5: Solve for x
    x = 31,412,885.82/6,277.98
  6. Step 6: Final answer
    x = 5,003.66

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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.