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Finding the Fourth Proportional to 3,480.59, 5,220.33 and 1,288.82

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Solution

The fourth proportional to 3,480.59, 5,220.33 and 1,288.82 is: 1,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.59 : 5,220.33 = 1,288.82 : x
  2. Step 2: Convert to fraction form
    3,480.59/5,220.33 = 1,288.82/x
  3. Step 3: Cross multiply
    3,480.59x = 5,220.33 × 1,288.82
  4. Step 4: Simplify right side
    3,480.59x = 6,728,065.71
  5. Step 5: Solve for x
    x = 6,728,065.71/3,480.59
  6. Step 6: Final answer
    x = 1,933.02

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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.