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Finding the Fourth Proportional to 5,314.50, 7,971.75 and 2,026.83

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Solution

The fourth proportional to 5,314.50, 7,971.75 and 2,026.83 is: 3,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.50 : 7,971.75 = 2,026.83 : x
  2. Step 2: Convert to fraction form
    5,314.50/7,971.75 = 2,026.83/x
  3. Step 3: Cross multiply
    5,314.50x = 7,971.75 × 2,026.83
  4. Step 4: Simplify right side
    5,314.50x = 16,157,382.05
  5. Step 5: Solve for x
    x = 16,157,382.05/5,314.50
  6. Step 6: Final answer
    x = 3,040.25

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1.5x scale

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.