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Finding the Fourth Proportional to 3,680.34, 5,489.59 and 3,348.18

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Solution

The fourth proportional to 3,680.34, 5,489.59 and 3,348.18 is: 4,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.34 : 5,489.59 = 3,348.18 : x
  2. Step 2: Convert to fraction form
    3,680.34/5,489.59 = 3,348.18/x
  3. Step 3: Cross multiply
    3,680.34x = 5,489.59 × 3,348.18
  4. Step 4: Simplify right side
    3,680.34x = 18,380,091.26
  5. Step 5: Solve for x
    x = 18,380,091.26/3,680.34
  6. Step 6: Final answer
    x = 4,994.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.