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Finding the Fourth Proportional to 4,236.69, 5,845.78 and 2,558.17

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Solution

The fourth proportional to 4,236.69, 5,845.78 and 2,558.17 is: 3,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.69 : 5,845.78 = 2,558.17 : x
  2. Step 2: Convert to fraction form
    4,236.69/5,845.78 = 2,558.17/x
  3. Step 3: Cross multiply
    4,236.69x = 5,845.78 × 2,558.17
  4. Step 4: Simplify right side
    4,236.69x = 14,954,509.53
  5. Step 5: Solve for x
    x = 14,954,509.53/4,236.69
  6. Step 6: Final answer
    x = 3,529.76

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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.