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Finding the Fourth Proportional to 5,930.32, 8,183.01 and 3,411.47

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Solution

The fourth proportional to 5,930.32, 8,183.01 and 3,411.47 is: 4,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.32 : 8,183.01 = 3,411.47 : x
  2. Step 2: Convert to fraction form
    5,930.32/8,183.01 = 3,411.47/x
  3. Step 3: Cross multiply
    5,930.32x = 8,183.01 × 3,411.47
  4. Step 4: Simplify right side
    5,930.32x = 27,916,076.07
  5. Step 5: Solve for x
    x = 27,916,076.07/5,930.32
  6. Step 6: Final answer
    x = 4,707.35

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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.