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Finding the Fourth Proportional to 4,636.26, 6,950.07 and 1,713.78

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Solution

The fourth proportional to 4,636.26, 6,950.07 and 1,713.78 is: 2,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.26 : 6,950.07 = 1,713.78 : x
  2. Step 2: Convert to fraction form
    4,636.26/6,950.07 = 1,713.78/x
  3. Step 3: Cross multiply
    4,636.26x = 6,950.07 × 1,713.78
  4. Step 4: Simplify right side
    4,636.26x = 11,910,890.96
  5. Step 5: Solve for x
    x = 11,910,890.96/4,636.26
  6. Step 6: Final answer
    x = 2,569.07

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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.