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Finding the Fourth Proportional to 3,971.99, 5,959.55 and 1,507.46

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Solution

The fourth proportional to 3,971.99, 5,959.55 and 1,507.46 is: 2,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.99 : 5,959.55 = 1,507.46 : x
  2. Step 2: Convert to fraction form
    3,971.99/5,959.55 = 1,507.46/x
  3. Step 3: Cross multiply
    3,971.99x = 5,959.55 × 1,507.46
  4. Step 4: Simplify right side
    3,971.99x = 8,983,786.50
  5. Step 5: Solve for x
    x = 8,983,786.50/3,971.99
  6. Step 6: Final answer
    x = 2,261.79

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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.