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Finding the Fourth Proportional to 5,430.81, 8,147.16 and 1,967.25

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Solution

The fourth proportional to 5,430.81, 8,147.16 and 1,967.25 is: 2,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.81 : 8,147.16 = 1,967.25 : x
  2. Step 2: Convert to fraction form
    5,430.81/8,147.16 = 1,967.25/x
  3. Step 3: Cross multiply
    5,430.81x = 8,147.16 × 1,967.25
  4. Step 4: Simplify right side
    5,430.81x = 16,027,500.51
  5. Step 5: Solve for x
    x = 16,027,500.51/5,430.81
  6. Step 6: Final answer
    x = 2,951.22

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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.