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Finding the Fourth Proportional to 5,837, 8,055.06 and 3,741.52

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Solution

The fourth proportional to 5,837, 8,055.06 and 3,741.52 is: 5,163.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837 : 8,055.06 = 3,741.52 : x
  2. Step 2: Convert to fraction form
    5,837/8,055.06 = 3,741.52/x
  3. Step 3: Cross multiply
    5,837x = 8,055.06 × 3,741.52
  4. Step 4: Simplify right side
    5,837x = 30,138,168.09
  5. Step 5: Solve for x
    x = 30,138,168.09/5,837
  6. Step 6: Final answer
    x = 5,163.30

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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.