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Finding the Fourth Proportional to 4,478.64, 6,183.21 and 2,909.70

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Solution

The fourth proportional to 4,478.64, 6,183.21 and 2,909.70 is: 4,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.64 : 6,183.21 = 2,909.70 : x
  2. Step 2: Convert to fraction form
    4,478.64/6,183.21 = 2,909.70/x
  3. Step 3: Cross multiply
    4,478.64x = 6,183.21 × 2,909.70
  4. Step 4: Simplify right side
    4,478.64x = 17,991,286.14
  5. Step 5: Solve for x
    x = 17,991,286.14/4,478.64
  6. Step 6: Final answer
    x = 4,017.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.