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Finding the Fourth Proportional to 3,823.92, 5,737.74 and 1,360.56

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Solution

The fourth proportional to 3,823.92, 5,737.74 and 1,360.56 is: 2,041.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.92 : 5,737.74 = 1,360.56 : x
  2. Step 2: Convert to fraction form
    3,823.92/5,737.74 = 1,360.56/x
  3. Step 3: Cross multiply
    3,823.92x = 5,737.74 × 1,360.56
  4. Step 4: Simplify right side
    3,823.92x = 7,806,539.53
  5. Step 5: Solve for x
    x = 7,806,539.53/3,823.92
  6. Step 6: Final answer
    x = 2,041.50

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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.