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Finding the Fourth Proportional to 4,573.35, 6,858 and 1,651.68

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Solution

The fourth proportional to 4,573.35, 6,858 and 1,651.68 is: 2,476.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.35 : 6,858 = 1,651.68 : x
  2. Step 2: Convert to fraction form
    4,573.35/6,858 = 1,651.68/x
  3. Step 3: Cross multiply
    4,573.35x = 6,858 × 1,651.68
  4. Step 4: Simplify right side
    4,573.35x = 11,327,221.44
  5. Step 5: Solve for x
    x = 11,327,221.44/4,573.35
  6. Step 6: Final answer
    x = 2,476.79

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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.