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Finding the Fourth Proportional to 3,472.40, 4,792 and 1,900.56

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Solution

The fourth proportional to 3,472.40, 4,792 and 1,900.56 is: 2,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.40 : 4,792 = 1,900.56 : x
  2. Step 2: Convert to fraction form
    3,472.40/4,792 = 1,900.56/x
  3. Step 3: Cross multiply
    3,472.40x = 4,792 × 1,900.56
  4. Step 4: Simplify right side
    3,472.40x = 9,107,483.52
  5. Step 5: Solve for x
    x = 9,107,483.52/3,472.40
  6. Step 6: Final answer
    x = 2,622.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.