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Finding the Fourth Proportional to 7,958.47, 11,937.95 and 3,798.92

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Solution

The fourth proportional to 7,958.47, 11,937.95 and 3,798.92 is: 5,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.47 : 11,937.95 = 3,798.92 : x
  2. Step 2: Convert to fraction form
    7,958.47/11,937.95 = 3,798.92/x
  3. Step 3: Cross multiply
    7,958.47x = 11,937.95 × 3,798.92
  4. Step 4: Simplify right side
    7,958.47x = 45,351,317.01
  5. Step 5: Solve for x
    x = 45,351,317.01/7,958.47
  6. Step 6: Final answer
    x = 5,698.50

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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.