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Finding the Fourth Proportional to 5,845.92, 8,770.40 and 2,559.64

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Solution

The fourth proportional to 5,845.92, 8,770.40 and 2,559.64 is: 3,840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.92 : 8,770.40 = 2,559.64 : x
  2. Step 2: Convert to fraction form
    5,845.92/8,770.40 = 2,559.64/x
  3. Step 3: Cross multiply
    5,845.92x = 8,770.40 × 2,559.64
  4. Step 4: Simplify right side
    5,845.92x = 22,449,066.66
  5. Step 5: Solve for x
    x = 22,449,066.66/5,845.92
  6. Step 6: Final answer
    x = 3,840.13

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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.