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Finding the Fourth Proportional to 5,201.70, 7,805.64 and 1,914.72

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Solution

The fourth proportional to 5,201.70, 7,805.64 and 1,914.72 is: 2,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.70 : 7,805.64 = 1,914.72 : x
  2. Step 2: Convert to fraction form
    5,201.70/7,805.64 = 1,914.72/x
  3. Step 3: Cross multiply
    5,201.70x = 7,805.64 × 1,914.72
  4. Step 4: Simplify right side
    5,201.70x = 14,945,615.02
  5. Step 5: Solve for x
    x = 14,945,615.02/5,201.70
  6. Step 6: Final answer
    x = 2,873.22

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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.