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Finding the Fourth Proportional to 3,552.84, 5,330.16 and 1,361.76

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Solution

The fourth proportional to 3,552.84, 5,330.16 and 1,361.76 is: 2,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.84 : 5,330.16 = 1,361.76 : x
  2. Step 2: Convert to fraction form
    3,552.84/5,330.16 = 1,361.76/x
  3. Step 3: Cross multiply
    3,552.84x = 5,330.16 × 1,361.76
  4. Step 4: Simplify right side
    3,552.84x = 7,258,398.68
  5. Step 5: Solve for x
    x = 7,258,398.68/3,552.84
  6. Step 6: Final answer
    x = 2,042.98

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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.