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Finding the Fourth Proportional to 4,633.94, 6,950.07 and 2,293.20

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Solution

The fourth proportional to 4,633.94, 6,950.07 and 2,293.20 is: 3,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.94 : 6,950.07 = 2,293.20 : x
  2. Step 2: Convert to fraction form
    4,633.94/6,950.07 = 2,293.20/x
  3. Step 3: Cross multiply
    4,633.94x = 6,950.07 × 2,293.20
  4. Step 4: Simplify right side
    4,633.94x = 15,937,900.52
  5. Step 5: Solve for x
    x = 15,937,900.52/4,633.94
  6. Step 6: Final answer
    x = 3,439.39

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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.