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Finding the Fourth Proportional to 3,889.68, 5,834.16 and 1,581

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Solution

The fourth proportional to 3,889.68, 5,834.16 and 1,581 is: 2,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.68 : 5,834.16 = 1,581 : x
  2. Step 2: Convert to fraction form
    3,889.68/5,834.16 = 1,581/x
  3. Step 3: Cross multiply
    3,889.68x = 5,834.16 × 1,581
  4. Step 4: Simplify right side
    3,889.68x = 9,223,806.96
  5. Step 5: Solve for x
    x = 9,223,806.96/3,889.68
  6. Step 6: Final answer
    x = 2,371.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.