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Finding the Fourth Proportional to 5,644.42, 8,469.06 and 3,046.84

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Solution

The fourth proportional to 5,644.42, 8,469.06 and 3,046.84 is: 4,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.42 : 8,469.06 = 3,046.84 : x
  2. Step 2: Convert to fraction form
    5,644.42/8,469.06 = 3,046.84/x
  3. Step 3: Cross multiply
    5,644.42x = 8,469.06 × 3,046.84
  4. Step 4: Simplify right side
    5,644.42x = 25,803,870.77
  5. Step 5: Solve for x
    x = 25,803,870.77/5,644.42
  6. Step 6: Final answer
    x = 4,571.57

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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.