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Finding the Fourth Proportional to 5,834.14, 8,051.26 and 3,597.49

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Solution

The fourth proportional to 5,834.14, 8,051.26 and 3,597.49 is: 4,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.14 : 8,051.26 = 3,597.49 : x
  2. Step 2: Convert to fraction form
    5,834.14/8,051.26 = 3,597.49/x
  3. Step 3: Cross multiply
    5,834.14x = 8,051.26 × 3,597.49
  4. Step 4: Simplify right side
    5,834.14x = 28,964,327.34
  5. Step 5: Solve for x
    x = 28,964,327.34/5,834.14
  6. Step 6: Final answer
    x = 4,964.63

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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.