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Finding the Fourth Proportional to 3,480.52, 5,220.95 and 1,288.74

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Solution

The fourth proportional to 3,480.52, 5,220.95 and 1,288.74 is: 1,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.52 : 5,220.95 = 1,288.74 : x
  2. Step 2: Convert to fraction form
    3,480.52/5,220.95 = 1,288.74/x
  3. Step 3: Cross multiply
    3,480.52x = 5,220.95 × 1,288.74
  4. Step 4: Simplify right side
    3,480.52x = 6,728,422.53
  5. Step 5: Solve for x
    x = 6,728,422.53/3,480.52
  6. Step 6: Final answer
    x = 1,933.17

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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.