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Finding the Fourth Proportional to 5,829.28, 8,045.84 and 4,500.96

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Solution

The fourth proportional to 5,829.28, 8,045.84 and 4,500.96 is: 6,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.28 : 8,045.84 = 4,500.96 : x
  2. Step 2: Convert to fraction form
    5,829.28/8,045.84 = 4,500.96/x
  3. Step 3: Cross multiply
    5,829.28x = 8,045.84 × 4,500.96
  4. Step 4: Simplify right side
    5,829.28x = 36,214,004.01
  5. Step 5: Solve for x
    x = 36,214,004.01/5,829.28
  6. Step 6: Final answer
    x = 6,212.43

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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.