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Finding the Fourth Proportional to 3,675.41, 5,507.23 and 3,302.40

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Solution

The fourth proportional to 3,675.41, 5,507.23 and 3,302.40 is: 4,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.41 : 5,507.23 = 3,302.40 : x
  2. Step 2: Convert to fraction form
    3,675.41/5,507.23 = 3,302.40/x
  3. Step 3: Cross multiply
    3,675.41x = 5,507.23 × 3,302.40
  4. Step 4: Simplify right side
    3,675.41x = 18,187,076.35
  5. Step 5: Solve for x
    x = 18,187,076.35/3,675.41
  6. Step 6: Final answer
    x = 4,948.31

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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.