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Finding the Fourth Proportional to 3,932.51, 5,896.05 and 1,465.98

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Solution

The fourth proportional to 3,932.51, 5,896.05 and 1,465.98 is: 2,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.51 : 5,896.05 = 1,465.98 : x
  2. Step 2: Convert to fraction form
    3,932.51/5,896.05 = 1,465.98/x
  3. Step 3: Cross multiply
    3,932.51x = 5,896.05 × 1,465.98
  4. Step 4: Simplify right side
    3,932.51x = 8,643,491.38
  5. Step 5: Solve for x
    x = 8,643,491.38/3,932.51
  6. Step 6: Final answer
    x = 2,197.96

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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.