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Finding the Fourth Proportional to 4,221.86, 5,826.12 and 2,333.57

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Solution

The fourth proportional to 4,221.86, 5,826.12 and 2,333.57 is: 3,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.86 : 5,826.12 = 2,333.57 : x
  2. Step 2: Convert to fraction form
    4,221.86/5,826.12 = 2,333.57/x
  3. Step 3: Cross multiply
    4,221.86x = 5,826.12 × 2,333.57
  4. Step 4: Simplify right side
    4,221.86x = 13,595,629.72
  5. Step 5: Solve for x
    x = 13,595,629.72/4,221.86
  6. Step 6: Final answer
    x = 3,220.30

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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.