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Finding the Fourth Proportional to 5,037, 7,555.50 and 1,959

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Solution

The fourth proportional to 5,037, 7,555.50 and 1,959 is: 2,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037 : 7,555.50 = 1,959 : x
  2. Step 2: Convert to fraction form
    5,037/7,555.50 = 1,959/x
  3. Step 3: Cross multiply
    5,037x = 7,555.50 × 1,959
  4. Step 4: Simplify right side
    5,037x = 14,801,224.50
  5. Step 5: Solve for x
    x = 14,801,224.50/5,037
  6. Step 6: Final answer
    x = 2,938.50

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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.