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Finding the Fourth Proportional to 3,163.85, 4,746.22 and 1,054.76

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Solution

The fourth proportional to 3,163.85, 4,746.22 and 1,054.76 is: 1,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.85 : 4,746.22 = 1,054.76 : x
  2. Step 2: Convert to fraction form
    3,163.85/4,746.22 = 1,054.76/x
  3. Step 3: Cross multiply
    3,163.85x = 4,746.22 × 1,054.76
  4. Step 4: Simplify right side
    3,163.85x = 5,006,108.78
  5. Step 5: Solve for x
    x = 5,006,108.78/3,163.85
  6. Step 6: Final answer
    x = 1,582.29

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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.