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Finding the Fourth Proportional to 7,604.52, 11,407.98 and 3,222

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Solution

The fourth proportional to 7,604.52, 11,407.98 and 3,222 is: 4,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,604.52 : 11,407.98 = 3,222 : x
  2. Step 2: Convert to fraction form
    7,604.52/11,407.98 = 3,222/x
  3. Step 3: Cross multiply
    7,604.52x = 11,407.98 × 3,222
  4. Step 4: Simplify right side
    7,604.52x = 36,756,511.56
  5. Step 5: Solve for x
    x = 36,756,511.56/7,604.52
  6. Step 6: Final answer
    x = 4,833.51

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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.