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Finding the Fourth Proportional to 4,964.60, 6,850.64 and 2,975.10

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Solution

The fourth proportional to 4,964.60, 6,850.64 and 2,975.10 is: 4,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.60 : 6,850.64 = 2,975.10 : x
  2. Step 2: Convert to fraction form
    4,964.60/6,850.64 = 2,975.10/x
  3. Step 3: Cross multiply
    4,964.60x = 6,850.64 × 2,975.10
  4. Step 4: Simplify right side
    4,964.60x = 20,381,349.88
  5. Step 5: Solve for x
    x = 20,381,349.88/4,964.60
  6. Step 6: Final answer
    x = 4,105.34

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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.