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Finding the Fourth Proportional to 3,903.72, 5,846.58 and 2,256.18

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Solution

The fourth proportional to 3,903.72, 5,846.58 and 2,256.18 is: 3,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.72 : 5,846.58 = 2,256.18 : x
  2. Step 2: Convert to fraction form
    3,903.72/5,846.58 = 2,256.18/x
  3. Step 3: Cross multiply
    3,903.72x = 5,846.58 × 2,256.18
  4. Step 4: Simplify right side
    3,903.72x = 13,190,936.86
  5. Step 5: Solve for x
    x = 13,190,936.86/3,903.72
  6. Step 6: Final answer
    x = 3,379.07

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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.