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Finding the Fourth Proportional to 3,665.72, 5,494.33 and 2,841.35

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Solution

The fourth proportional to 3,665.72, 5,494.33 and 2,841.35 is: 4,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.72 : 5,494.33 = 2,841.35 : x
  2. Step 2: Convert to fraction form
    3,665.72/5,494.33 = 2,841.35/x
  3. Step 3: Cross multiply
    3,665.72x = 5,494.33 × 2,841.35
  4. Step 4: Simplify right side
    3,665.72x = 15,611,290.63
  5. Step 5: Solve for x
    x = 15,611,290.63/3,665.72
  6. Step 6: Final answer
    x = 4,258.72

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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.