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Finding the Fourth Proportional to 3,757.14, 5,636.34 and 1,291.86

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Solution

The fourth proportional to 3,757.14, 5,636.34 and 1,291.86 is: 1,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.14 : 5,636.34 = 1,291.86 : x
  2. Step 2: Convert to fraction form
    3,757.14/5,636.34 = 1,291.86/x
  3. Step 3: Cross multiply
    3,757.14x = 5,636.34 × 1,291.86
  4. Step 4: Simplify right side
    3,757.14x = 7,281,362.19
  5. Step 5: Solve for x
    x = 7,281,362.19/3,757.14
  6. Step 6: Final answer
    x = 1,938.01

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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.