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Finding the Fourth Proportional to 5,718.71, 7,893.38 and 3,361.61

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Solution

The fourth proportional to 5,718.71, 7,893.38 and 3,361.61 is: 4,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.71 : 7,893.38 = 3,361.61 : x
  2. Step 2: Convert to fraction form
    5,718.71/7,893.38 = 3,361.61/x
  3. Step 3: Cross multiply
    5,718.71x = 7,893.38 × 3,361.61
  4. Step 4: Simplify right side
    5,718.71x = 26,534,465.14
  5. Step 5: Solve for x
    x = 26,534,465.14/5,718.71
  6. Step 6: Final answer
    x = 4,639.94

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Why These Related Problems?

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