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Finding the Fourth Proportional to 4,566.86, 6,846.33 and 2,223.61

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Solution

The fourth proportional to 4,566.86, 6,846.33 and 2,223.61 is: 3,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.86 : 6,846.33 = 2,223.61 : x
  2. Step 2: Convert to fraction form
    4,566.86/6,846.33 = 2,223.61/x
  3. Step 3: Cross multiply
    4,566.86x = 6,846.33 × 2,223.61
  4. Step 4: Simplify right side
    4,566.86x = 15,223,567.85
  5. Step 5: Solve for x
    x = 15,223,567.85/4,566.86
  6. Step 6: Final answer
    x = 3,333.49

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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.