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Finding the Fourth Proportional to 3,757.89, 5,634.93 and 1,291.95

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Solution

The fourth proportional to 3,757.89, 5,634.93 and 1,291.95 is: 1,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.89 : 5,634.93 = 1,291.95 : x
  2. Step 2: Convert to fraction form
    3,757.89/5,634.93 = 1,291.95/x
  3. Step 3: Cross multiply
    3,757.89x = 5,634.93 × 1,291.95
  4. Step 4: Simplify right side
    3,757.89x = 7,280,047.81
  5. Step 5: Solve for x
    x = 7,280,047.81/3,757.89
  6. Step 6: Final answer
    x = 1,937.27

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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.