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Finding the Fourth Proportional to 5,937.48, 8,898 and 3,742.32

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Solution

The fourth proportional to 5,937.48, 8,898 and 3,742.32 is: 5,608.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.48 : 8,898 = 3,742.32 : x
  2. Step 2: Convert to fraction form
    5,937.48/8,898 = 3,742.32/x
  3. Step 3: Cross multiply
    5,937.48x = 8,898 × 3,742.32
  4. Step 4: Simplify right side
    5,937.48x = 33,299,163.36
  5. Step 5: Solve for x
    x = 33,299,163.36/5,937.48
  6. Step 6: Final answer
    x = 5,608.30

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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.