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Finding the Fourth Proportional to 5,836, 8,053.68 and 3,741.34

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Solution

The fourth proportional to 5,836, 8,053.68 and 3,741.34 is: 5,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836 : 8,053.68 = 3,741.34 : x
  2. Step 2: Convert to fraction form
    5,836/8,053.68 = 3,741.34/x
  3. Step 3: Cross multiply
    5,836x = 8,053.68 × 3,741.34
  4. Step 4: Simplify right side
    5,836x = 30,131,555.13
  5. Step 5: Solve for x
    x = 30,131,555.13/5,836
  6. Step 6: Final answer
    x = 5,163.05

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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.