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Finding the Fourth Proportional to 4,236.02, 5,845.02 and 2,663

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Solution

The fourth proportional to 4,236.02, 5,845.02 and 2,663 is: 3,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,236.02 : 5,845.02 = 2,663 : x
  2. Step 2: Convert to fraction form
    4,236.02/5,845.02 = 2,663/x
  3. Step 3: Cross multiply
    4,236.02x = 5,845.02 × 2,663
  4. Step 4: Simplify right side
    4,236.02x = 15,565,288.26
  5. Step 5: Solve for x
    x = 15,565,288.26/4,236.02
  6. Step 6: Final answer
    x = 3,674.51

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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.