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Finding the Fourth Proportional to 4,469.34, 6,704.31 and 1,182.39

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Solution

The fourth proportional to 4,469.34, 6,704.31 and 1,182.39 is: 1,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.34 : 6,704.31 = 1,182.39 : x
  2. Step 2: Convert to fraction form
    4,469.34/6,704.31 = 1,182.39/x
  3. Step 3: Cross multiply
    4,469.34x = 6,704.31 × 1,182.39
  4. Step 4: Simplify right side
    4,469.34x = 7,927,109.10
  5. Step 5: Solve for x
    x = 7,927,109.10/4,469.34
  6. Step 6: Final answer
    x = 1,773.66

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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.