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Finding the Fourth Proportional to 5,293.80, 7,940.70 and 1,831.40

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Solution

The fourth proportional to 5,293.80, 7,940.70 and 1,831.40 is: 2,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.80 : 7,940.70 = 1,831.40 : x
  2. Step 2: Convert to fraction form
    5,293.80/7,940.70 = 1,831.40/x
  3. Step 3: Cross multiply
    5,293.80x = 7,940.70 × 1,831.40
  4. Step 4: Simplify right side
    5,293.80x = 14,542,597.98
  5. Step 5: Solve for x
    x = 14,542,597.98/5,293.80
  6. Step 6: Final answer
    x = 2,747.10

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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.