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Finding the Fourth Proportional to 3,113.44, 4,304.75 and 2,975.74

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Solution

The fourth proportional to 3,113.44, 4,304.75 and 2,975.74 is: 4,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.44 : 4,304.75 = 2,975.74 : x
  2. Step 2: Convert to fraction form
    3,113.44/4,304.75 = 2,975.74/x
  3. Step 3: Cross multiply
    3,113.44x = 4,304.75 × 2,975.74
  4. Step 4: Simplify right side
    3,113.44x = 12,809,791.12
  5. Step 5: Solve for x
    x = 12,809,791.12/3,113.44
  6. Step 6: Final answer
    x = 4,114.36

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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.