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Finding the Fourth Proportional to 5,203, 7,805.34 and 1,741.06

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Solution

The fourth proportional to 5,203, 7,805.34 and 1,741.06 is: 2,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203 : 7,805.34 = 1,741.06 : x
  2. Step 2: Convert to fraction form
    5,203/7,805.34 = 1,741.06/x
  3. Step 3: Cross multiply
    5,203x = 7,805.34 × 1,741.06
  4. Step 4: Simplify right side
    5,203x = 13,589,565.26
  5. Step 5: Solve for x
    x = 13,589,565.26/5,203
  6. Step 6: Final answer
    x = 2,611.87

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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.