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Finding the Fourth Proportional to 5,931.70, 8,891.40 and 2,033.98

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Solution

The fourth proportional to 5,931.70, 8,891.40 and 2,033.98 is: 3,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.70 : 8,891.40 = 2,033.98 : x
  2. Step 2: Convert to fraction form
    5,931.70/8,891.40 = 2,033.98/x
  3. Step 3: Cross multiply
    5,931.70x = 8,891.40 × 2,033.98
  4. Step 4: Simplify right side
    5,931.70x = 18,084,929.77
  5. Step 5: Solve for x
    x = 18,084,929.77/5,931.70
  6. Step 6: Final answer
    x = 3,048.86

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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.