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Finding the Fourth Proportional to 5,765.88, 8,642.28 and 2,846.24

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Solution

The fourth proportional to 5,765.88, 8,642.28 and 2,846.24 is: 4,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.88 : 8,642.28 = 2,846.24 : x
  2. Step 2: Convert to fraction form
    5,765.88/8,642.28 = 2,846.24/x
  3. Step 3: Cross multiply
    5,765.88x = 8,642.28 × 2,846.24
  4. Step 4: Simplify right side
    5,765.88x = 24,598,003.03
  5. Step 5: Solve for x
    x = 24,598,003.03/5,765.88
  6. Step 6: Final answer
    x = 4,266.13

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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.