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Finding the Fourth Proportional to 6,277.62, 8,661.72 and 3,624.45

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Solution

The fourth proportional to 6,277.62, 8,661.72 and 3,624.45 is: 5,000.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.62 : 8,661.72 = 3,624.45 : x
  2. Step 2: Convert to fraction form
    6,277.62/8,661.72 = 3,624.45/x
  3. Step 3: Cross multiply
    6,277.62x = 8,661.72 × 3,624.45
  4. Step 4: Simplify right side
    6,277.62x = 31,393,971.05
  5. Step 5: Solve for x
    x = 31,393,971.05/6,277.62
  6. Step 6: Final answer
    x = 5,000.94

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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.