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Finding the Fourth Proportional to 5,028.42, 7,543.04 and 1,741.44

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Solution

The fourth proportional to 5,028.42, 7,543.04 and 1,741.44 is: 2,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.42 : 7,543.04 = 1,741.44 : x
  2. Step 2: Convert to fraction form
    5,028.42/7,543.04 = 1,741.44/x
  3. Step 3: Cross multiply
    5,028.42x = 7,543.04 × 1,741.44
  4. Step 4: Simplify right side
    5,028.42x = 13,135,742.87
  5. Step 5: Solve for x
    x = 13,135,742.87/5,028.42
  6. Step 6: Final answer
    x = 2,612.30

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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.