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Finding the Fourth Proportional to 3,980.26, 5,970.24 and 1,347.96

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Solution

The fourth proportional to 3,980.26, 5,970.24 and 1,347.96 is: 2,021.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.26 : 5,970.24 = 1,347.96 : x
  2. Step 2: Convert to fraction form
    3,980.26/5,970.24 = 1,347.96/x
  3. Step 3: Cross multiply
    3,980.26x = 5,970.24 × 1,347.96
  4. Step 4: Simplify right side
    3,980.26x = 8,047,667.10
  5. Step 5: Solve for x
    x = 8,047,667.10/3,980.26
  6. Step 6: Final answer
    x = 2,021.89

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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.