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Finding the Fourth Proportional to 3,540.75, 5,308.80 and 1,980.91

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Solution

The fourth proportional to 3,540.75, 5,308.80 and 1,980.91 is: 2,970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.75 : 5,308.80 = 1,980.91 : x
  2. Step 2: Convert to fraction form
    3,540.75/5,308.80 = 1,980.91/x
  3. Step 3: Cross multiply
    3,540.75x = 5,308.80 × 1,980.91
  4. Step 4: Simplify right side
    3,540.75x = 10,516,255.01
  5. Step 5: Solve for x
    x = 10,516,255.01/3,540.75
  6. Step 6: Final answer
    x = 2,970.06

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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.