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Finding the Fourth Proportional to 3,941.74, 5,439 and 2,347.90

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Solution

The fourth proportional to 3,941.74, 5,439 and 2,347.90 is: 3,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.74 : 5,439 = 2,347.90 : x
  2. Step 2: Convert to fraction form
    3,941.74/5,439 = 2,347.90/x
  3. Step 3: Cross multiply
    3,941.74x = 5,439 × 2,347.90
  4. Step 4: Simplify right side
    3,941.74x = 12,770,228.10
  5. Step 5: Solve for x
    x = 12,770,228.10/3,941.74
  6. Step 6: Final answer
    x = 3,239.74

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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.