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Finding the Fourth Proportional to 7,952.97, 11,931.39 and 2,406.00

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Solution

The fourth proportional to 7,952.97, 11,931.39 and 2,406.00 is: 3,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.97 : 11,931.39 = 2,406.00 : x
  2. Step 2: Convert to fraction form
    7,952.97/11,931.39 = 2,406.00/x
  3. Step 3: Cross multiply
    7,952.97x = 11,931.39 × 2,406.00
  4. Step 4: Simplify right side
    7,952.97x = 28,706,980.92
  5. Step 5: Solve for x
    x = 28,706,980.92/7,952.97
  6. Step 6: Final answer
    x = 3,609.59

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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.