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Finding the Fourth Proportional to 5,289.74, 7,934.60 and 3,112.34

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Solution

The fourth proportional to 5,289.74, 7,934.60 and 3,112.34 is: 4,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.74 : 7,934.60 = 3,112.34 : x
  2. Step 2: Convert to fraction form
    5,289.74/7,934.60 = 3,112.34/x
  3. Step 3: Cross multiply
    5,289.74x = 7,934.60 × 3,112.34
  4. Step 4: Simplify right side
    5,289.74x = 24,695,172.96
  5. Step 5: Solve for x
    x = 24,695,172.96/5,289.74
  6. Step 6: Final answer
    x = 4,668.50

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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.