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Finding the Fourth Proportional to 4,566.58, 6,850.17 and 1,446.72

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Solution

The fourth proportional to 4,566.58, 6,850.17 and 1,446.72 is: 2,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.58 : 6,850.17 = 1,446.72 : x
  2. Step 2: Convert to fraction form
    4,566.58/6,850.17 = 1,446.72/x
  3. Step 3: Cross multiply
    4,566.58x = 6,850.17 × 1,446.72
  4. Step 4: Simplify right side
    4,566.58x = 9,910,277.94
  5. Step 5: Solve for x
    x = 9,910,277.94/4,566.58
  6. Step 6: Final answer
    x = 2,170.18

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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.