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Finding the Fourth Proportional to 4,200.56, 5,793 and 2,628.80

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Solution

The fourth proportional to 4,200.56, 5,793 and 2,628.80 is: 3,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.56 : 5,793 = 2,628.80 : x
  2. Step 2: Convert to fraction form
    4,200.56/5,793 = 2,628.80/x
  3. Step 3: Cross multiply
    4,200.56x = 5,793 × 2,628.80
  4. Step 4: Simplify right side
    4,200.56x = 15,228,638.40
  5. Step 5: Solve for x
    x = 15,228,638.40/4,200.56
  6. Step 6: Final answer
    x = 3,625.38

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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.