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Finding the Fourth Proportional to 6,277.11, 8,662.38 and 3,624.77

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Solution

The fourth proportional to 6,277.11, 8,662.38 and 3,624.77 is: 5,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.11 : 8,662.38 = 3,624.77 : x
  2. Step 2: Convert to fraction form
    6,277.11/8,662.38 = 3,624.77/x
  3. Step 3: Cross multiply
    6,277.11x = 8,662.38 × 3,624.77
  4. Step 4: Simplify right side
    6,277.11x = 31,399,091.84
  5. Step 5: Solve for x
    x = 31,399,091.84/6,277.11
  6. Step 6: Final answer
    x = 5,002.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.