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Finding the Fourth Proportional to 5,729.94, 8,596.53 and 2,958.12

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Solution

The fourth proportional to 5,729.94, 8,596.53 and 2,958.12 is: 4,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.94 : 8,596.53 = 2,958.12 : x
  2. Step 2: Convert to fraction form
    5,729.94/8,596.53 = 2,958.12/x
  3. Step 3: Cross multiply
    5,729.94x = 8,596.53 × 2,958.12
  4. Step 4: Simplify right side
    5,729.94x = 25,429,567.32
  5. Step 5: Solve for x
    x = 25,429,567.32/5,729.94
  6. Step 6: Final answer
    x = 4,438.02

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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.