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Finding the Fourth Proportional to 3,477.84, 5,214.01 and 1,721.60

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Solution

The fourth proportional to 3,477.84, 5,214.01 and 1,721.60 is: 2,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.84 : 5,214.01 = 1,721.60 : x
  2. Step 2: Convert to fraction form
    3,477.84/5,214.01 = 1,721.60/x
  3. Step 3: Cross multiply
    3,477.84x = 5,214.01 × 1,721.60
  4. Step 4: Simplify right side
    3,477.84x = 8,976,439.62
  5. Step 5: Solve for x
    x = 8,976,439.62/3,477.84
  6. Step 6: Final answer
    x = 2,581.04

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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.