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Finding the Fourth Proportional to 5,844.90, 8,768.88 and 2,558.64

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Solution

The fourth proportional to 5,844.90, 8,768.88 and 2,558.64 is: 3,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.90 : 8,768.88 = 2,558.64 : x
  2. Step 2: Convert to fraction form
    5,844.90/8,768.88 = 2,558.64/x
  3. Step 3: Cross multiply
    5,844.90x = 8,768.88 × 2,558.64
  4. Step 4: Simplify right side
    5,844.90x = 22,436,407.12
  5. Step 5: Solve for x
    x = 22,436,407.12/5,844.90
  6. Step 6: Final answer
    x = 3,838.63

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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.