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Finding the Fourth Proportional to 4,739.57, 7,106.31 and 1,968.16

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Solution

The fourth proportional to 4,739.57, 7,106.31 and 1,968.16 is: 2,950.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.57 : 7,106.31 = 1,968.16 : x
  2. Step 2: Convert to fraction form
    4,739.57/7,106.31 = 1,968.16/x
  3. Step 3: Cross multiply
    4,739.57x = 7,106.31 × 1,968.16
  4. Step 4: Simplify right side
    4,739.57x = 13,986,319.56
  5. Step 5: Solve for x
    x = 13,986,319.56/4,739.57
  6. Step 6: Final answer
    x = 2,950.97

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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.