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Finding the Fourth Proportional to 5,576, 8,364 and 1,928

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Solution

The fourth proportional to 5,576, 8,364 and 1,928 is: 2,892

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576 : 8,364 = 1,928 : x
  2. Step 2: Convert to fraction form
    5,576/8,364 = 1,928/x
  3. Step 3: Cross multiply
    5,576x = 8,364 × 1,928
  4. Step 4: Simplify right side
    5,576x = 16,125,792
  5. Step 5: Solve for x
    x = 16,125,792/5,576
  6. Step 6: Final answer
    x = 2,892

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.