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Finding the Fourth Proportional to 5,684.93, 8,531.37 and 3,183.51

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Solution

The fourth proportional to 5,684.93, 8,531.37 and 3,183.51 is: 4,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.93 : 8,531.37 = 3,183.51 : x
  2. Step 2: Convert to fraction form
    5,684.93/8,531.37 = 3,183.51/x
  3. Step 3: Cross multiply
    5,684.93x = 8,531.37 × 3,183.51
  4. Step 4: Simplify right side
    5,684.93x = 27,159,701.71
  5. Step 5: Solve for x
    x = 27,159,701.71/5,684.93
  6. Step 6: Final answer
    x = 4,777.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.