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Finding the Fourth Proportional to 7,235.92, 10,846.50 and 2,851.60

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Solution

The fourth proportional to 7,235.92, 10,846.50 and 2,851.60 is: 4,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.92 : 10,846.50 = 2,851.60 : x
  2. Step 2: Convert to fraction form
    7,235.92/10,846.50 = 2,851.60/x
  3. Step 3: Cross multiply
    7,235.92x = 10,846.50 × 2,851.60
  4. Step 4: Simplify right side
    7,235.92x = 30,929,879.40
  5. Step 5: Solve for x
    x = 30,929,879.40/7,235.92
  6. Step 6: Final answer
    x = 4,274.49

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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.