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Finding the Fourth Proportional to 5,781.81, 8,673.38 and 1,886.22

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Solution

The fourth proportional to 5,781.81, 8,673.38 and 1,886.22 is: 2,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.81 : 8,673.38 = 1,886.22 : x
  2. Step 2: Convert to fraction form
    5,781.81/8,673.38 = 1,886.22/x
  3. Step 3: Cross multiply
    5,781.81x = 8,673.38 × 1,886.22
  4. Step 4: Simplify right side
    5,781.81x = 16,359,900.47
  5. Step 5: Solve for x
    x = 16,359,900.47/5,781.81
  6. Step 6: Final answer
    x = 2,829.54

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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.