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Finding the Fourth Proportional to 5,584.17, 8,376.27 and 1,886.43

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Solution

The fourth proportional to 5,584.17, 8,376.27 and 1,886.43 is: 2,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.17 : 8,376.27 = 1,886.43 : x
  2. Step 2: Convert to fraction form
    5,584.17/8,376.27 = 1,886.43/x
  3. Step 3: Cross multiply
    5,584.17x = 8,376.27 × 1,886.43
  4. Step 4: Simplify right side
    5,584.17x = 15,801,247.02
  5. Step 5: Solve for x
    x = 15,801,247.02/5,584.17
  6. Step 6: Final answer
    x = 2,829.65

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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.