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Finding the Fourth Proportional to 4,934.86, 7,403.51 and 1,424.78

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Solution

The fourth proportional to 4,934.86, 7,403.51 and 1,424.78 is: 2,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.86 : 7,403.51 = 1,424.78 : x
  2. Step 2: Convert to fraction form
    4,934.86/7,403.51 = 1,424.78/x
  3. Step 3: Cross multiply
    4,934.86x = 7,403.51 × 1,424.78
  4. Step 4: Simplify right side
    4,934.86x = 10,548,372.98
  5. Step 5: Solve for x
    x = 10,548,372.98/4,934.86
  6. Step 6: Final answer
    x = 2,137.52

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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.