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Finding the Fourth Proportional to 4,600.65, 6,896.22 and 2,133.46

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Solution

The fourth proportional to 4,600.65, 6,896.22 and 2,133.46 is: 3,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.65 : 6,896.22 = 2,133.46 : x
  2. Step 2: Convert to fraction form
    4,600.65/6,896.22 = 2,133.46/x
  3. Step 3: Cross multiply
    4,600.65x = 6,896.22 × 2,133.46
  4. Step 4: Simplify right side
    4,600.65x = 14,712,809.52
  5. Step 5: Solve for x
    x = 14,712,809.52/4,600.65
  6. Step 6: Final answer
    x = 3,197.98

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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.