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Finding the Fourth Proportional to 7,597.92, 11,391.95 and 3,154.37

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Solution

The fourth proportional to 7,597.92, 11,391.95 and 3,154.37 is: 4,729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.92 : 11,391.95 = 3,154.37 : x
  2. Step 2: Convert to fraction form
    7,597.92/11,391.95 = 3,154.37/x
  3. Step 3: Cross multiply
    7,597.92x = 11,391.95 × 3,154.37
  4. Step 4: Simplify right side
    7,597.92x = 35,934,352.59
  5. Step 5: Solve for x
    x = 35,934,352.59/7,597.92
  6. Step 6: Final answer
    x = 4,729.50

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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.