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Finding the Fourth Proportional to 4,470.52, 6,706.13 and 1,183.53

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Solution

The fourth proportional to 4,470.52, 6,706.13 and 1,183.53 is: 1,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.52 : 6,706.13 = 1,183.53 : x
  2. Step 2: Convert to fraction form
    4,470.52/6,706.13 = 1,183.53/x
  3. Step 3: Cross multiply
    4,470.52x = 6,706.13 × 1,183.53
  4. Step 4: Simplify right side
    4,470.52x = 7,936,906.04
  5. Step 5: Solve for x
    x = 7,936,906.04/4,470.52
  6. Step 6: Final answer
    x = 1,775.39

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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.