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Finding the Fourth Proportional to 4,561.85, 6,838.22 and 3,934.61

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Solution

The fourth proportional to 4,561.85, 6,838.22 and 3,934.61 is: 5,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.85 : 6,838.22 = 3,934.61 : x
  2. Step 2: Convert to fraction form
    4,561.85/6,838.22 = 3,934.61/x
  3. Step 3: Cross multiply
    4,561.85x = 6,838.22 × 3,934.61
  4. Step 4: Simplify right side
    4,561.85x = 26,905,730.08
  5. Step 5: Solve for x
    x = 26,905,730.08/4,561.85
  6. Step 6: Final answer
    x = 5,897.98

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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.