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Finding the Fourth Proportional to 3,163.56, 4,748.58 and 3,046.92

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Solution

The fourth proportional to 3,163.56, 4,748.58 and 3,046.92 is: 4,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.56 : 4,748.58 = 3,046.92 : x
  2. Step 2: Convert to fraction form
    3,163.56/4,748.58 = 3,046.92/x
  3. Step 3: Cross multiply
    3,163.56x = 4,748.58 × 3,046.92
  4. Step 4: Simplify right side
    3,163.56x = 14,468,543.37
  5. Step 5: Solve for x
    x = 14,468,543.37/3,163.56
  6. Step 6: Final answer
    x = 4,573.50

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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.