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Finding the Fourth Proportional to 3,450.64, 4,762.38 and 1,958.94

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Solution

The fourth proportional to 3,450.64, 4,762.38 and 1,958.94 is: 2,703.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.64 : 4,762.38 = 1,958.94 : x
  2. Step 2: Convert to fraction form
    3,450.64/4,762.38 = 1,958.94/x
  3. Step 3: Cross multiply
    3,450.64x = 4,762.38 × 1,958.94
  4. Step 4: Simplify right side
    3,450.64x = 9,329,216.68
  5. Step 5: Solve for x
    x = 9,329,216.68/3,450.64
  6. Step 6: Final answer
    x = 2,703.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.