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Finding the Fourth Proportional to 4,667.53, 6,439.82 and 2,778.16

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Solution

The fourth proportional to 4,667.53, 6,439.82 and 2,778.16 is: 3,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.53 : 6,439.82 = 2,778.16 : x
  2. Step 2: Convert to fraction form
    4,667.53/6,439.82 = 2,778.16/x
  3. Step 3: Cross multiply
    4,667.53x = 6,439.82 × 2,778.16
  4. Step 4: Simplify right side
    4,667.53x = 17,890,844.49
  5. Step 5: Solve for x
    x = 17,890,844.49/4,667.53
  6. Step 6: Final answer
    x = 3,833.05

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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.