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Finding the Fourth Proportional to 5,544.64, 8,314.72 and 4,313.44

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Solution

The fourth proportional to 5,544.64, 8,314.72 and 4,313.44 is: 6,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,544.64 : 8,314.72 = 4,313.44 : x
  2. Step 2: Convert to fraction form
    5,544.64/8,314.72 = 4,313.44/x
  3. Step 3: Cross multiply
    5,544.64x = 8,314.72 × 4,313.44
  4. Step 4: Simplify right side
    5,544.64x = 35,865,045.84
  5. Step 5: Solve for x
    x = 35,865,045.84/5,544.64
  6. Step 6: Final answer
    x = 6,468.42

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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.