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Finding the Fourth Proportional to 3,531.84, 5,297.19 and 1,340.04

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Solution

The fourth proportional to 3,531.84, 5,297.19 and 1,340.04 is: 2,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.84 : 5,297.19 = 1,340.04 : x
  2. Step 2: Convert to fraction form
    3,531.84/5,297.19 = 1,340.04/x
  3. Step 3: Cross multiply
    3,531.84x = 5,297.19 × 1,340.04
  4. Step 4: Simplify right side
    3,531.84x = 7,098,446.49
  5. Step 5: Solve for x
    x = 7,098,446.49/3,531.84
  6. Step 6: Final answer
    x = 2,009.84

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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.