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Finding the Fourth Proportional to 3,445.37, 5,168.12 and 980.20

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Solution

The fourth proportional to 3,445.37, 5,168.12 and 980.20 is: 1,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.37 : 5,168.12 = 980.20 : x
  2. Step 2: Convert to fraction form
    3,445.37/5,168.12 = 980.20/x
  3. Step 3: Cross multiply
    3,445.37x = 5,168.12 × 980.20
  4. Step 4: Simplify right side
    3,445.37x = 5,065,791.22
  5. Step 5: Solve for x
    x = 5,065,791.22/3,445.37
  6. Step 6: Final answer
    x = 1,470.32

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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.