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Finding the Fourth Proportional to 4,934.59, 7,401.11 and 1,647.69

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Solution

The fourth proportional to 4,934.59, 7,401.11 and 1,647.69 is: 2,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.59 : 7,401.11 = 1,647.69 : x
  2. Step 2: Convert to fraction form
    4,934.59/7,401.11 = 1,647.69/x
  3. Step 3: Cross multiply
    4,934.59x = 7,401.11 × 1,647.69
  4. Step 4: Simplify right side
    4,934.59x = 12,194,734.94
  5. Step 5: Solve for x
    x = 12,194,734.94/4,934.59
  6. Step 6: Final answer
    x = 2,471.28

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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.