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Finding the Fourth Proportional to 5,944.29, 8,916.43 and 1,784.29

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Solution

The fourth proportional to 5,944.29, 8,916.43 and 1,784.29 is: 2,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.29 : 8,916.43 = 1,784.29 : x
  2. Step 2: Convert to fraction form
    5,944.29/8,916.43 = 1,784.29/x
  3. Step 3: Cross multiply
    5,944.29x = 8,916.43 × 1,784.29
  4. Step 4: Simplify right side
    5,944.29x = 15,909,496.88
  5. Step 5: Solve for x
    x = 15,909,496.88/5,944.29
  6. Step 6: Final answer
    x = 2,676.43

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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.