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Finding the Fourth Proportional to 5,208.01, 7,813.01 and 1,921.36

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Solution

The fourth proportional to 5,208.01, 7,813.01 and 1,921.36 is: 2,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.01 : 7,813.01 = 1,921.36 : x
  2. Step 2: Convert to fraction form
    5,208.01/7,813.01 = 1,921.36/x
  3. Step 3: Cross multiply
    5,208.01x = 7,813.01 × 1,921.36
  4. Step 4: Simplify right side
    5,208.01x = 15,011,604.89
  5. Step 5: Solve for x
    x = 15,011,604.89/5,208.01
  6. Step 6: Final answer
    x = 2,882.41

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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.