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Finding the Fourth Proportional to 5,059.84, 7,584.56 and 1,939

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Solution

The fourth proportional to 5,059.84, 7,584.56 and 1,939 is: 2,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.84 : 7,584.56 = 1,939 : x
  2. Step 2: Convert to fraction form
    5,059.84/7,584.56 = 1,939/x
  3. Step 3: Cross multiply
    5,059.84x = 7,584.56 × 1,939
  4. Step 4: Simplify right side
    5,059.84x = 14,706,461.84
  5. Step 5: Solve for x
    x = 14,706,461.84/5,059.84
  6. Step 6: Final answer
    x = 2,906.51

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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.