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Finding the Fourth Proportional to 3,073.47, 4,241.74 and 1,747.37

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Solution

The fourth proportional to 3,073.47, 4,241.74 and 1,747.37 is: 2,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.47 : 4,241.74 = 1,747.37 : x
  2. Step 2: Convert to fraction form
    3,073.47/4,241.74 = 1,747.37/x
  3. Step 3: Cross multiply
    3,073.47x = 4,241.74 × 1,747.37
  4. Step 4: Simplify right side
    3,073.47x = 7,411,878.62
  5. Step 5: Solve for x
    x = 7,411,878.62/3,073.47
  6. Step 6: Final answer
    x = 2,411.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.