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Finding the Fourth Proportional to 4,470.59, 6,706.21 and 1,183.66

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Solution

The fourth proportional to 4,470.59, 6,706.21 and 1,183.66 is: 1,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.59 : 6,706.21 = 1,183.66 : x
  2. Step 2: Convert to fraction form
    4,470.59/6,706.21 = 1,183.66/x
  3. Step 3: Cross multiply
    4,470.59x = 6,706.21 × 1,183.66
  4. Step 4: Simplify right side
    4,470.59x = 7,937,872.53
  5. Step 5: Solve for x
    x = 7,937,872.53/4,470.59
  6. Step 6: Final answer
    x = 1,775.58

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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.