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Finding the Fourth Proportional to 4,236.86, 5,847.06 and 2,558.22

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Solution

The fourth proportional to 4,236.86, 5,847.06 and 2,558.22 is: 3,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.86 : 5,847.06 = 2,558.22 : x
  2. Step 2: Convert to fraction form
    4,236.86/5,847.06 = 2,558.22/x
  3. Step 3: Cross multiply
    4,236.86x = 5,847.06 × 2,558.22
  4. Step 4: Simplify right side
    4,236.86x = 14,958,065.83
  5. Step 5: Solve for x
    x = 14,958,065.83/4,236.86
  6. Step 6: Final answer
    x = 3,530.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.