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Finding the Fourth Proportional to 5,163.44, 7,746.28 and 1,700.56

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Solution

The fourth proportional to 5,163.44, 7,746.28 and 1,700.56 is: 2,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.44 : 7,746.28 = 1,700.56 : x
  2. Step 2: Convert to fraction form
    5,163.44/7,746.28 = 1,700.56/x
  3. Step 3: Cross multiply
    5,163.44x = 7,746.28 × 1,700.56
  4. Step 4: Simplify right side
    5,163.44x = 13,173,013.92
  5. Step 5: Solve for x
    x = 13,173,013.92/5,163.44
  6. Step 6: Final answer
    x = 2,551.21

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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.