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Finding the Fourth Proportional to 3,613.35, 5,420.38 and 980.89

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Solution

The fourth proportional to 3,613.35, 5,420.38 and 980.89 is: 1,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.35 : 5,420.38 = 980.89 : x
  2. Step 2: Convert to fraction form
    3,613.35/5,420.38 = 980.89/x
  3. Step 3: Cross multiply
    3,613.35x = 5,420.38 × 980.89
  4. Step 4: Simplify right side
    3,613.35x = 5,316,796.54
  5. Step 5: Solve for x
    x = 5,316,796.54/3,613.35
  6. Step 6: Final answer
    x = 1,471.43

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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.