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Finding the Fourth Proportional to 3,911.99, 5,864.41 and 1,689.43

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Solution

The fourth proportional to 3,911.99, 5,864.41 and 1,689.43 is: 2,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.99 : 5,864.41 = 1,689.43 : x
  2. Step 2: Convert to fraction form
    3,911.99/5,864.41 = 1,689.43/x
  3. Step 3: Cross multiply
    3,911.99x = 5,864.41 × 1,689.43
  4. Step 4: Simplify right side
    3,911.99x = 9,907,510.19
  5. Step 5: Solve for x
    x = 9,907,510.19/3,911.99
  6. Step 6: Final answer
    x = 2,532.60

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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.