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Finding the Fourth Proportional to 5,707.62, 7,873.31 and 3,349.31

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Solution

The fourth proportional to 5,707.62, 7,873.31 and 3,349.31 is: 4,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.62 : 7,873.31 = 3,349.31 : x
  2. Step 2: Convert to fraction form
    5,707.62/7,873.31 = 3,349.31/x
  3. Step 3: Cross multiply
    5,707.62x = 7,873.31 × 3,349.31
  4. Step 4: Simplify right side
    5,707.62x = 26,370,099.80
  5. Step 5: Solve for x
    x = 26,370,099.80/5,707.62
  6. Step 6: Final answer
    x = 4,620.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.