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Finding the Fourth Proportional to 4,468.22, 6,166.68 and 3,051.46

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Solution

The fourth proportional to 4,468.22, 6,166.68 and 3,051.46 is: 4,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.22 : 6,166.68 = 3,051.46 : x
  2. Step 2: Convert to fraction form
    4,468.22/6,166.68 = 3,051.46/x
  3. Step 3: Cross multiply
    4,468.22x = 6,166.68 × 3,051.46
  4. Step 4: Simplify right side
    4,468.22x = 18,817,361.94
  5. Step 5: Solve for x
    x = 18,817,361.94/4,468.22
  6. Step 6: Final answer
    x = 4,211.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.