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Finding the Fourth Proportional to 5,021, 7,527.38 and 1,899.24

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Solution

The fourth proportional to 5,021, 7,527.38 and 1,899.24 is: 2,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021 : 7,527.38 = 1,899.24 : x
  2. Step 2: Convert to fraction form
    5,021/7,527.38 = 1,899.24/x
  3. Step 3: Cross multiply
    5,021x = 7,527.38 × 1,899.24
  4. Step 4: Simplify right side
    5,021x = 14,296,301.19
  5. Step 5: Solve for x
    x = 14,296,301.19/5,021
  6. Step 6: Final answer
    x = 2,847.30

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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.