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Finding the Fourth Proportional to 4,746.78, 7,113.96 and 2,550.78

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Solution

The fourth proportional to 4,746.78, 7,113.96 and 2,550.78 is: 3,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.78 : 7,113.96 = 2,550.78 : x
  2. Step 2: Convert to fraction form
    4,746.78/7,113.96 = 2,550.78/x
  3. Step 3: Cross multiply
    4,746.78x = 7,113.96 × 2,550.78
  4. Step 4: Simplify right side
    4,746.78x = 18,146,146.89
  5. Step 5: Solve for x
    x = 18,146,146.89/4,746.78
  6. Step 6: Final answer
    x = 3,822.83

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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.