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Finding the Fourth Proportional to 4,791.66, 7,188.57 and 1,460.21

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Solution

The fourth proportional to 4,791.66, 7,188.57 and 1,460.21 is: 2,190.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.66 : 7,188.57 = 1,460.21 : x
  2. Step 2: Convert to fraction form
    4,791.66/7,188.57 = 1,460.21/x
  3. Step 3: Cross multiply
    4,791.66x = 7,188.57 × 1,460.21
  4. Step 4: Simplify right side
    4,791.66x = 10,496,785.86
  5. Step 5: Solve for x
    x = 10,496,785.86/4,791.66
  6. Step 6: Final answer
    x = 2,190.64

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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.