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Finding the Fourth Proportional to 5,854.72, 8,781.13 and 1,905.44

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Solution

The fourth proportional to 5,854.72, 8,781.13 and 1,905.44 is: 2,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.72 : 8,781.13 = 1,905.44 : x
  2. Step 2: Convert to fraction form
    5,854.72/8,781.13 = 1,905.44/x
  3. Step 3: Cross multiply
    5,854.72x = 8,781.13 × 1,905.44
  4. Step 4: Simplify right side
    5,854.72x = 16,731,916.35
  5. Step 5: Solve for x
    x = 16,731,916.35/5,854.72
  6. Step 6: Final answer
    x = 2,857.85

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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.