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Finding the Fourth Proportional to 4,814.64, 7,223.22 and 2,041.43

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Solution

The fourth proportional to 4,814.64, 7,223.22 and 2,041.43 is: 3,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.64 : 7,223.22 = 2,041.43 : x
  2. Step 2: Convert to fraction form
    4,814.64/7,223.22 = 2,041.43/x
  3. Step 3: Cross multiply
    4,814.64x = 7,223.22 × 2,041.43
  4. Step 4: Simplify right side
    4,814.64x = 14,745,661.89
  5. Step 5: Solve for x
    x = 14,745,661.89/4,814.64
  6. Step 6: Final answer
    x = 3,062.67

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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.