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Finding the Fourth Proportional to 5,224, 7,836.64 and 1,576

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Solution

The fourth proportional to 5,224, 7,836.64 and 1,576 is: 2,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 7,836.64 = 1,576 : x
  2. Step 2: Convert to fraction form
    5,224/7,836.64 = 1,576/x
  3. Step 3: Cross multiply
    5,224x = 7,836.64 × 1,576
  4. Step 4: Simplify right side
    5,224x = 12,350,544.64
  5. Step 5: Solve for x
    x = 12,350,544.64/5,224
  6. Step 6: Final answer
    x = 2,364.19

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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.