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Finding the Fourth Proportional to 3,447.30, 4,758.03 and 2,268.48

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Solution

The fourth proportional to 3,447.30, 4,758.03 and 2,268.48 is: 3,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.30 : 4,758.03 = 2,268.48 : x
  2. Step 2: Convert to fraction form
    3,447.30/4,758.03 = 2,268.48/x
  3. Step 3: Cross multiply
    3,447.30x = 4,758.03 × 2,268.48
  4. Step 4: Simplify right side
    3,447.30x = 10,793,495.89
  5. Step 5: Solve for x
    x = 10,793,495.89/3,447.30
  6. Step 6: Final answer
    x = 3,131.00

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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.