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Finding the Fourth Proportional to 3,840.11, 5,756.74 and 1,499.57

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Solution

The fourth proportional to 3,840.11, 5,756.74 and 1,499.57 is: 2,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.11 : 5,756.74 = 1,499.57 : x
  2. Step 2: Convert to fraction form
    3,840.11/5,756.74 = 1,499.57/x
  3. Step 3: Cross multiply
    3,840.11x = 5,756.74 × 1,499.57
  4. Step 4: Simplify right side
    3,840.11x = 8,632,627.10
  5. Step 5: Solve for x
    x = 8,632,627.10/3,840.11
  6. Step 6: Final answer
    x = 2,248.02

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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.