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Finding the Fourth Proportional to 4,741.74, 6,542.24 and 3,743.82

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Solution

The fourth proportional to 4,741.74, 6,542.24 and 3,743.82 is: 5,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.74 : 6,542.24 = 3,743.82 : x
  2. Step 2: Convert to fraction form
    4,741.74/6,542.24 = 3,743.82/x
  3. Step 3: Cross multiply
    4,741.74x = 6,542.24 × 3,743.82
  4. Step 4: Simplify right side
    4,741.74x = 24,492,950.24
  5. Step 5: Solve for x
    x = 24,492,950.24/4,741.74
  6. Step 6: Final answer
    x = 5,165.39

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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.