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Finding the Fourth Proportional to 3,287.46, 4,922.04 and 2,558.46

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Solution

The fourth proportional to 3,287.46, 4,922.04 and 2,558.46 is: 3,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.46 : 4,922.04 = 2,558.46 : x
  2. Step 2: Convert to fraction form
    3,287.46/4,922.04 = 2,558.46/x
  3. Step 3: Cross multiply
    3,287.46x = 4,922.04 × 2,558.46
  4. Step 4: Simplify right side
    3,287.46x = 12,592,842.46
  5. Step 5: Solve for x
    x = 12,592,842.46/3,287.46
  6. Step 6: Final answer
    x = 3,830.57

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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.