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Finding the Fourth Proportional to 5,835.06, 8,750.70 and 1,938.70

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Solution

The fourth proportional to 5,835.06, 8,750.70 and 1,938.70 is: 2,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.06 : 8,750.70 = 1,938.70 : x
  2. Step 2: Convert to fraction form
    5,835.06/8,750.70 = 1,938.70/x
  3. Step 3: Cross multiply
    5,835.06x = 8,750.70 × 1,938.70
  4. Step 4: Simplify right side
    5,835.06x = 16,964,982.09
  5. Step 5: Solve for x
    x = 16,964,982.09/5,835.06
  6. Step 6: Final answer
    x = 2,907.42

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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.