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Finding the Fourth Proportional to 5,895.34, 8,135.40 and 3,800.68

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Solution

The fourth proportional to 5,895.34, 8,135.40 and 3,800.68 is: 5,244.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.34 : 8,135.40 = 3,800.68 : x
  2. Step 2: Convert to fraction form
    5,895.34/8,135.40 = 3,800.68/x
  3. Step 3: Cross multiply
    5,895.34x = 8,135.40 × 3,800.68
  4. Step 4: Simplify right side
    5,895.34x = 30,920,052.07
  5. Step 5: Solve for x
    x = 30,920,052.07/5,895.34
  6. Step 6: Final answer
    x = 5,244.83

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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.