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Finding the Fourth Proportional to 3,163.94, 4,746.52 and 1,083.86

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Solution

The fourth proportional to 3,163.94, 4,746.52 and 1,083.86 is: 1,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.94 : 4,746.52 = 1,083.86 : x
  2. Step 2: Convert to fraction form
    3,163.94/4,746.52 = 1,083.86/x
  3. Step 3: Cross multiply
    3,163.94x = 4,746.52 × 1,083.86
  4. Step 4: Simplify right side
    3,163.94x = 5,144,563.17
  5. Step 5: Solve for x
    x = 5,144,563.17/3,163.94
  6. Step 6: Final answer
    x = 1,626.00

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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.