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Finding the Fourth Proportional to 4,612.88, 6,910.40 and 3,863.59

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Solution

The fourth proportional to 4,612.88, 6,910.40 and 3,863.59 is: 5,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.88 : 6,910.40 = 3,863.59 : x
  2. Step 2: Convert to fraction form
    4,612.88/6,910.40 = 3,863.59/x
  3. Step 3: Cross multiply
    4,612.88x = 6,910.40 × 3,863.59
  4. Step 4: Simplify right side
    4,612.88x = 26,698,933.02
  5. Step 5: Solve for x
    x = 26,698,933.02/4,612.88
  6. Step 6: Final answer
    x = 5,787.91

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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.