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Finding the Fourth Proportional to 3,927.74, 5,887.56 and 1,737.50

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Solution

The fourth proportional to 3,927.74, 5,887.56 and 1,737.50 is: 2,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.74 : 5,887.56 = 1,737.50 : x
  2. Step 2: Convert to fraction form
    3,927.74/5,887.56 = 1,737.50/x
  3. Step 3: Cross multiply
    3,927.74x = 5,887.56 × 1,737.50
  4. Step 4: Simplify right side
    3,927.74x = 10,229,635.50
  5. Step 5: Solve for x
    x = 10,229,635.50/3,927.74
  6. Step 6: Final answer
    x = 2,604.46

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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.