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Finding the Fourth Proportional to 5,314.26, 7,975.02 and 1,851.50

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Solution

The fourth proportional to 5,314.26, 7,975.02 and 1,851.50 is: 2,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.26 : 7,975.02 = 1,851.50 : x
  2. Step 2: Convert to fraction form
    5,314.26/7,975.02 = 1,851.50/x
  3. Step 3: Cross multiply
    5,314.26x = 7,975.02 × 1,851.50
  4. Step 4: Simplify right side
    5,314.26x = 14,765,749.53
  5. Step 5: Solve for x
    x = 14,765,749.53/5,314.26
  6. Step 6: Final answer
    x = 2,778.51

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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.