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Finding the Fourth Proportional to 4,624.63, 6,938.64 and 3,318.80

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Solution

The fourth proportional to 4,624.63, 6,938.64 and 3,318.80 is: 4,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.63 : 6,938.64 = 3,318.80 : x
  2. Step 2: Convert to fraction form
    4,624.63/6,938.64 = 3,318.80/x
  3. Step 3: Cross multiply
    4,624.63x = 6,938.64 × 3,318.80
  4. Step 4: Simplify right side
    4,624.63x = 23,027,923.74
  5. Step 5: Solve for x
    x = 23,027,923.74/4,624.63
  6. Step 6: Final answer
    x = 4,979.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.