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Finding the Fourth Proportional to 3,801.44, 5,701.07 and 1,461.29

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Solution

The fourth proportional to 3,801.44, 5,701.07 and 1,461.29 is: 2,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.44 : 5,701.07 = 1,461.29 : x
  2. Step 2: Convert to fraction form
    3,801.44/5,701.07 = 1,461.29/x
  3. Step 3: Cross multiply
    3,801.44x = 5,701.07 × 1,461.29
  4. Step 4: Simplify right side
    3,801.44x = 8,330,880.77
  5. Step 5: Solve for x
    x = 8,330,880.77/3,801.44
  6. Step 6: Final answer
    x = 2,191.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.