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Finding the Fourth Proportional to 3,480.28, 5,217.09 and 1,288.42

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Solution

The fourth proportional to 3,480.28, 5,217.09 and 1,288.42 is: 1,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.28 : 5,217.09 = 1,288.42 : x
  2. Step 2: Convert to fraction form
    3,480.28/5,217.09 = 1,288.42/x
  3. Step 3: Cross multiply
    3,480.28x = 5,217.09 × 1,288.42
  4. Step 4: Simplify right side
    3,480.28x = 6,721,803.10
  5. Step 5: Solve for x
    x = 6,721,803.10/3,480.28
  6. Step 6: Final answer
    x = 1,931.40

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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.