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Finding the Fourth Proportional to 3,519.06, 5,280 and 1,328.41

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Solution

The fourth proportional to 3,519.06, 5,280 and 1,328.41 is: 1,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.06 : 5,280 = 1,328.41 : x
  2. Step 2: Convert to fraction form
    3,519.06/5,280 = 1,328.41/x
  3. Step 3: Cross multiply
    3,519.06x = 5,280 × 1,328.41
  4. Step 4: Simplify right side
    3,519.06x = 7,014,004.80
  5. Step 5: Solve for x
    x = 7,014,004.80/3,519.06
  6. Step 6: Final answer
    x = 1,993.15

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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.