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Finding the Fourth Proportional to 3,654.40, 5,040.64 and 2,255.36

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Solution

The fourth proportional to 3,654.40, 5,040.64 and 2,255.36 is: 3,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.40 : 5,040.64 = 2,255.36 : x
  2. Step 2: Convert to fraction form
    3,654.40/5,040.64 = 2,255.36/x
  3. Step 3: Cross multiply
    3,654.40x = 5,040.64 × 2,255.36
  4. Step 4: Simplify right side
    3,654.40x = 11,368,457.83
  5. Step 5: Solve for x
    x = 11,368,457.83/3,654.40
  6. Step 6: Final answer
    x = 3,110.90

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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.