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Finding the Fourth Proportional to 6,257.72, 8,633.94 and 3,604.16

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Solution

The fourth proportional to 6,257.72, 8,633.94 and 3,604.16 is: 4,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.72 : 8,633.94 = 3,604.16 : x
  2. Step 2: Convert to fraction form
    6,257.72/8,633.94 = 3,604.16/x
  3. Step 3: Cross multiply
    6,257.72x = 8,633.94 × 3,604.16
  4. Step 4: Simplify right side
    6,257.72x = 31,118,101.19
  5. Step 5: Solve for x
    x = 31,118,101.19/6,257.72
  6. Step 6: Final answer
    x = 4,972.75

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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.