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Finding the Fourth Proportional to 5,012.58, 7,527.64 and 4,814.22

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Solution

The fourth proportional to 5,012.58, 7,527.64 and 4,814.22 is: 7,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.58 : 7,527.64 = 4,814.22 : x
  2. Step 2: Convert to fraction form
    5,012.58/7,527.64 = 4,814.22/x
  3. Step 3: Cross multiply
    5,012.58x = 7,527.64 × 4,814.22
  4. Step 4: Simplify right side
    5,012.58x = 36,239,715.04
  5. Step 5: Solve for x
    x = 36,239,715.04/5,012.58
  6. Step 6: Final answer
    x = 7,229.75

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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.