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Finding the Fourth Proportional to 5,828, 8,041.48 and 5,628

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Solution

The fourth proportional to 5,828, 8,041.48 and 5,628 is: 7,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 8,041.48 = 5,628 : x
  2. Step 2: Convert to fraction form
    5,828/8,041.48 = 5,628/x
  3. Step 3: Cross multiply
    5,828x = 8,041.48 × 5,628
  4. Step 4: Simplify right side
    5,828x = 45,257,449.44
  5. Step 5: Solve for x
    x = 45,257,449.44/5,828
  6. Step 6: Final answer
    x = 7,765.52

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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.