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Finding the Fourth Proportional to 5,906.49, 8,154.33 and 3,919.77

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Solution

The fourth proportional to 5,906.49, 8,154.33 and 3,919.77 is: 5,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.49 : 8,154.33 = 3,919.77 : x
  2. Step 2: Convert to fraction form
    5,906.49/8,154.33 = 3,919.77/x
  3. Step 3: Cross multiply
    5,906.49x = 8,154.33 × 3,919.77
  4. Step 4: Simplify right side
    5,906.49x = 31,963,098.10
  5. Step 5: Solve for x
    x = 31,963,098.10/5,906.49
  6. Step 6: Final answer
    x = 5,411.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.