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Finding the Fourth Proportional to 5,717.58, 7,891.59 and 4,772.31

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Solution

The fourth proportional to 5,717.58, 7,891.59 and 4,772.31 is: 6,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.58 : 7,891.59 = 4,772.31 : x
  2. Step 2: Convert to fraction form
    5,717.58/7,891.59 = 4,772.31/x
  3. Step 3: Cross multiply
    5,717.58x = 7,891.59 × 4,772.31
  4. Step 4: Simplify right side
    5,717.58x = 37,661,113.87
  5. Step 5: Solve for x
    x = 37,661,113.87/5,717.58
  6. Step 6: Final answer
    x = 6,586.90

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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.