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Finding the Fourth Proportional to 3,896.93, 5,846.22 and 1,300.07

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Solution

The fourth proportional to 3,896.93, 5,846.22 and 1,300.07 is: 1,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.93 : 5,846.22 = 1,300.07 : x
  2. Step 2: Convert to fraction form
    3,896.93/5,846.22 = 1,300.07/x
  3. Step 3: Cross multiply
    3,896.93x = 5,846.22 × 1,300.07
  4. Step 4: Simplify right side
    3,896.93x = 7,600,495.24
  5. Step 5: Solve for x
    x = 7,600,495.24/3,896.93
  6. Step 6: Final answer
    x = 1,950.38

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1.5x scale

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.