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Finding the Fourth Proportional to 5,842.17, 8,764.64 and 1,893.43

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Solution

The fourth proportional to 5,842.17, 8,764.64 and 1,893.43 is: 2,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.17 : 8,764.64 = 1,893.43 : x
  2. Step 2: Convert to fraction form
    5,842.17/8,764.64 = 1,893.43/x
  3. Step 3: Cross multiply
    5,842.17x = 8,764.64 × 1,893.43
  4. Step 4: Simplify right side
    5,842.17x = 16,595,202.25
  5. Step 5: Solve for x
    x = 16,595,202.25/5,842.17
  6. Step 6: Final answer
    x = 2,840.59

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1.5x scale

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.