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Finding the Fourth Proportional to 4,668.64, 6,438.90 and 3,408.28

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Solution

The fourth proportional to 4,668.64, 6,438.90 and 3,408.28 is: 4,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.64 : 6,438.90 = 3,408.28 : x
  2. Step 2: Convert to fraction form
    4,668.64/6,438.90 = 3,408.28/x
  3. Step 3: Cross multiply
    4,668.64x = 6,438.90 × 3,408.28
  4. Step 4: Simplify right side
    4,668.64x = 21,945,574.09
  5. Step 5: Solve for x
    x = 21,945,574.09/4,668.64
  6. Step 6: Final answer
    x = 4,700.64

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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.