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Finding the Fourth Proportional to 3,840.57, 5,301.32 and 2,268.56

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Solution

The fourth proportional to 3,840.57, 5,301.32 and 2,268.56 is: 3,131.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.57 : 5,301.32 = 2,268.56 : x
  2. Step 2: Convert to fraction form
    3,840.57/5,301.32 = 2,268.56/x
  3. Step 3: Cross multiply
    3,840.57x = 5,301.32 × 2,268.56
  4. Step 4: Simplify right side
    3,840.57x = 12,026,364.41
  5. Step 5: Solve for x
    x = 12,026,364.41/3,840.57
  6. Step 6: Final answer
    x = 3,131.40

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Why These Related Problems?

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