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Finding the Fourth Proportional to 5,853.39, 8,780.92 and 1,693.43

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Solution

The fourth proportional to 5,853.39, 8,780.92 and 1,693.43 is: 2,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.39 : 8,780.92 = 1,693.43 : x
  2. Step 2: Convert to fraction form
    5,853.39/8,780.92 = 1,693.43/x
  3. Step 3: Cross multiply
    5,853.39x = 8,780.92 × 1,693.43
  4. Step 4: Simplify right side
    5,853.39x = 14,869,829.45
  5. Step 5: Solve for x
    x = 14,869,829.45/5,853.39
  6. Step 6: Final answer
    x = 2,540.38

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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.