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Finding the Fourth Proportional to 4,624.34, 6,939.28 and 1,704.68

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Solution

The fourth proportional to 4,624.34, 6,939.28 and 1,704.68 is: 2,558.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.34 : 6,939.28 = 1,704.68 : x
  2. Step 2: Convert to fraction form
    4,624.34/6,939.28 = 1,704.68/x
  3. Step 3: Cross multiply
    4,624.34x = 6,939.28 × 1,704.68
  4. Step 4: Simplify right side
    4,624.34x = 11,829,251.83
  5. Step 5: Solve for x
    x = 11,829,251.83/4,624.34
  6. Step 6: Final answer
    x = 2,558.04

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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.