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Finding the Fourth Proportional to 6,277.62, 8,663.08 and 3,625.26

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Solution

The fourth proportional to 6,277.62, 8,663.08 and 3,625.26 is: 5,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.62 : 8,663.08 = 3,625.26 : x
  2. Step 2: Convert to fraction form
    6,277.62/8,663.08 = 3,625.26/x
  3. Step 3: Cross multiply
    6,277.62x = 8,663.08 × 3,625.26
  4. Step 4: Simplify right side
    6,277.62x = 31,405,917.40
  5. Step 5: Solve for x
    x = 31,405,917.40/6,277.62
  6. Step 6: Final answer
    x = 5,002.84

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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.