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Finding the Fourth Proportional to 5,742.28, 8,610.72 and 1,846.72

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Solution

The fourth proportional to 5,742.28, 8,610.72 and 1,846.72 is: 2,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.28 : 8,610.72 = 1,846.72 : x
  2. Step 2: Convert to fraction form
    5,742.28/8,610.72 = 1,846.72/x
  3. Step 3: Cross multiply
    5,742.28x = 8,610.72 × 1,846.72
  4. Step 4: Simplify right side
    5,742.28x = 15,901,588.84
  5. Step 5: Solve for x
    x = 15,901,588.84/5,742.28
  6. Step 6: Final answer
    x = 2,769.21

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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.