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Finding the Fourth Proportional to 5,916.34, 8,105.34 and 5,694.76

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Solution

The fourth proportional to 5,916.34, 8,105.34 and 5,694.76 is: 7,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.34 : 8,105.34 = 5,694.76 : x
  2. Step 2: Convert to fraction form
    5,916.34/8,105.34 = 5,694.76/x
  3. Step 3: Cross multiply
    5,916.34x = 8,105.34 × 5,694.76
  4. Step 4: Simplify right side
    5,916.34x = 46,157,966.02
  5. Step 5: Solve for x
    x = 46,157,966.02/5,916.34
  6. Step 6: Final answer
    x = 7,801.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.