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Finding the Fourth Proportional to 5,693.96, 8,539.98 and 1,589

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Solution

The fourth proportional to 5,693.96, 8,539.98 and 1,589 is: 2,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.96 : 8,539.98 = 1,589 : x
  2. Step 2: Convert to fraction form
    5,693.96/8,539.98 = 1,589/x
  3. Step 3: Cross multiply
    5,693.96x = 8,539.98 × 1,589
  4. Step 4: Simplify right side
    5,693.96x = 13,570,028.22
  5. Step 5: Solve for x
    x = 13,570,028.22/5,693.96
  6. Step 6: Final answer
    x = 2,383.23

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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.