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Finding the Fourth Proportional to 4,662.60, 6,429.09 and 3,401.43

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Solution

The fourth proportional to 4,662.60, 6,429.09 and 3,401.43 is: 4,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.60 : 6,429.09 = 3,401.43 : x
  2. Step 2: Convert to fraction form
    4,662.60/6,429.09 = 3,401.43/x
  3. Step 3: Cross multiply
    4,662.60x = 6,429.09 × 3,401.43
  4. Step 4: Simplify right side
    4,662.60x = 21,868,099.60
  5. Step 5: Solve for x
    x = 21,868,099.60/4,662.60
  6. Step 6: Final answer
    x = 4,690.11

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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.