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Finding the Fourth Proportional to 6,943.54, 10,408.02 and 2,558.20

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Solution

The fourth proportional to 6,943.54, 10,408.02 and 2,558.20 is: 3,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.54 : 10,408.02 = 2,558.20 : x
  2. Step 2: Convert to fraction form
    6,943.54/10,408.02 = 2,558.20/x
  3. Step 3: Cross multiply
    6,943.54x = 10,408.02 × 2,558.20
  4. Step 4: Simplify right side
    6,943.54x = 26,625,796.76
  5. Step 5: Solve for x
    x = 26,625,796.76/6,943.54
  6. Step 6: Final answer
    x = 3,834.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.