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Finding the Fourth Proportional to 3,680.58, 5,080.02 and 2,188.46

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Solution

The fourth proportional to 3,680.58, 5,080.02 and 2,188.46 is: 3,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.58 : 5,080.02 = 2,188.46 : x
  2. Step 2: Convert to fraction form
    3,680.58/5,080.02 = 2,188.46/x
  3. Step 3: Cross multiply
    3,680.58x = 5,080.02 × 2,188.46
  4. Step 4: Simplify right side
    3,680.58x = 11,117,420.57
  5. Step 5: Solve for x
    x = 11,117,420.57/3,680.58
  6. Step 6: Final answer
    x = 3,020.56

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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.