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Finding the Fourth Proportional to 5,846.42, 8,068.07 and 3,193.84

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Solution

The fourth proportional to 5,846.42, 8,068.07 and 3,193.84 is: 4,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.42 : 8,068.07 = 3,193.84 : x
  2. Step 2: Convert to fraction form
    5,846.42/8,068.07 = 3,193.84/x
  3. Step 3: Cross multiply
    5,846.42x = 8,068.07 × 3,193.84
  4. Step 4: Simplify right side
    5,846.42x = 25,768,088.55
  5. Step 5: Solve for x
    x = 25,768,088.55/5,846.42
  6. Step 6: Final answer
    x = 4,407.50

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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.