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Finding the Fourth Proportional to 5,476.32, 8,213.71 and 1,778.60

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Solution

The fourth proportional to 5,476.32, 8,213.71 and 1,778.60 is: 2,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.32 : 8,213.71 = 1,778.60 : x
  2. Step 2: Convert to fraction form
    5,476.32/8,213.71 = 1,778.60/x
  3. Step 3: Cross multiply
    5,476.32x = 8,213.71 × 1,778.60
  4. Step 4: Simplify right side
    5,476.32x = 14,608,904.61
  5. Step 5: Solve for x
    x = 14,608,904.61/5,476.32
  6. Step 6: Final answer
    x = 2,667.65

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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.