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Finding the Fourth Proportional to 5,781.34, 8,672.91 and 1,884.84

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Solution

The fourth proportional to 5,781.34, 8,672.91 and 1,884.84 is: 2,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.34 : 8,672.91 = 1,884.84 : x
  2. Step 2: Convert to fraction form
    5,781.34/8,672.91 = 1,884.84/x
  3. Step 3: Cross multiply
    5,781.34x = 8,672.91 × 1,884.84
  4. Step 4: Simplify right side
    5,781.34x = 16,347,047.68
  5. Step 5: Solve for x
    x = 16,347,047.68/5,781.34
  6. Step 6: Final answer
    x = 2,827.55

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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.