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Finding the Fourth Proportional to 3,480.37, 5,221.14 and 1,533.94

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Solution

The fourth proportional to 3,480.37, 5,221.14 and 1,533.94 is: 2,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.37 : 5,221.14 = 1,533.94 : x
  2. Step 2: Convert to fraction form
    3,480.37/5,221.14 = 1,533.94/x
  3. Step 3: Cross multiply
    3,480.37x = 5,221.14 × 1,533.94
  4. Step 4: Simplify right side
    3,480.37x = 8,008,915.49
  5. Step 5: Solve for x
    x = 8,008,915.49/3,480.37
  6. Step 6: Final answer
    x = 2,301.17

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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.