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Finding the Fourth Proportional to 5,957.70, 8,927.43 and 3,184.76

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Solution

The fourth proportional to 5,957.70, 8,927.43 and 3,184.76 is: 4,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.70 : 8,927.43 = 3,184.76 : x
  2. Step 2: Convert to fraction form
    5,957.70/8,927.43 = 3,184.76/x
  3. Step 3: Cross multiply
    5,957.70x = 8,927.43 × 3,184.76
  4. Step 4: Simplify right side
    5,957.70x = 28,431,706.04
  5. Step 5: Solve for x
    x = 28,431,706.04/5,957.70
  6. Step 6: Final answer
    x = 4,772.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.