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Finding the Fourth Proportional to 4,633.93, 6,950.16 and 1,711.54

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Solution

The fourth proportional to 4,633.93, 6,950.16 and 1,711.54 is: 2,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.93 : 6,950.16 = 1,711.54 : x
  2. Step 2: Convert to fraction form
    4,633.93/6,950.16 = 1,711.54/x
  3. Step 3: Cross multiply
    4,633.93x = 6,950.16 × 1,711.54
  4. Step 4: Simplify right side
    4,633.93x = 11,895,476.85
  5. Step 5: Solve for x
    x = 11,895,476.85/4,633.93
  6. Step 6: Final answer
    x = 2,567.04

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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.