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Finding the Fourth Proportional to 3,741.07, 5,162.64 and 2,062.66

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Solution

The fourth proportional to 3,741.07, 5,162.64 and 2,062.66 is: 2,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.07 : 5,162.64 = 2,062.66 : x
  2. Step 2: Convert to fraction form
    3,741.07/5,162.64 = 2,062.66/x
  3. Step 3: Cross multiply
    3,741.07x = 5,162.64 × 2,062.66
  4. Step 4: Simplify right side
    3,741.07x = 10,648,771.02
  5. Step 5: Solve for x
    x = 10,648,771.02/3,741.07
  6. Step 6: Final answer
    x = 2,846.45

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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.