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Finding the Fourth Proportional to 5,793.66, 7,995.26 and 3,141.06

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Solution

The fourth proportional to 5,793.66, 7,995.26 and 3,141.06 is: 4,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.66 : 7,995.26 = 3,141.06 : x
  2. Step 2: Convert to fraction form
    5,793.66/7,995.26 = 3,141.06/x
  3. Step 3: Cross multiply
    5,793.66x = 7,995.26 × 3,141.06
  4. Step 4: Simplify right side
    5,793.66x = 25,113,575.67
  5. Step 5: Solve for x
    x = 25,113,575.67/5,793.66
  6. Step 6: Final answer
    x = 4,334.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.