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Finding the Fourth Proportional to 3,791.32, 5,683.51 and 3,210.06

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Solution

The fourth proportional to 3,791.32, 5,683.51 and 3,210.06 is: 4,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.32 : 5,683.51 = 3,210.06 : x
  2. Step 2: Convert to fraction form
    3,791.32/5,683.51 = 3,210.06/x
  3. Step 3: Cross multiply
    3,791.32x = 5,683.51 × 3,210.06
  4. Step 4: Simplify right side
    3,791.32x = 18,244,433.44
  5. Step 5: Solve for x
    x = 18,244,433.44/3,791.32
  6. Step 6: Final answer
    x = 4,812.16

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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.