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Finding the Fourth Proportional to 3,957.72, 5,934.87 and 1,585.50

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Solution

The fourth proportional to 3,957.72, 5,934.87 and 1,585.50 is: 2,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.72 : 5,934.87 = 1,585.50 : x
  2. Step 2: Convert to fraction form
    3,957.72/5,934.87 = 1,585.50/x
  3. Step 3: Cross multiply
    3,957.72x = 5,934.87 × 1,585.50
  4. Step 4: Simplify right side
    3,957.72x = 9,409,736.39
  5. Step 5: Solve for x
    x = 9,409,736.39/3,957.72
  6. Step 6: Final answer
    x = 2,377.56

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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.