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Finding the Fourth Proportional to 5,896.18, 8,846 and 2,384.38

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Solution

The fourth proportional to 5,896.18, 8,846 and 2,384.38 is: 3,577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.18 : 8,846 = 2,384.38 : x
  2. Step 2: Convert to fraction form
    5,896.18/8,846 = 2,384.38/x
  3. Step 3: Cross multiply
    5,896.18x = 8,846 × 2,384.38
  4. Step 4: Simplify right side
    5,896.18x = 21,092,225.48
  5. Step 5: Solve for x
    x = 21,092,225.48/5,896.18
  6. Step 6: Final answer
    x = 3,577.27

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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.