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Finding the Fourth Proportional to 5,820.56, 8,733.72 and 5,054.48

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Solution

The fourth proportional to 5,820.56, 8,733.72 and 5,054.48 is: 7,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.56 : 8,733.72 = 5,054.48 : x
  2. Step 2: Convert to fraction form
    5,820.56/8,733.72 = 5,054.48/x
  3. Step 3: Cross multiply
    5,820.56x = 8,733.72 × 5,054.48
  4. Step 4: Simplify right side
    5,820.56x = 44,144,413.07
  5. Step 5: Solve for x
    x = 44,144,413.07/5,820.56
  6. Step 6: Final answer
    x = 7,584.22

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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.