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Finding the Fourth Proportional to 5,600, 8,400 and 1,952

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Solution

The fourth proportional to 5,600, 8,400 and 1,952 is: 2,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600 : 8,400 = 1,952 : x
  2. Step 2: Convert to fraction form
    5,600/8,400 = 1,952/x
  3. Step 3: Cross multiply
    5,600x = 8,400 × 1,952
  4. Step 4: Simplify right side
    5,600x = 16,396,800
  5. Step 5: Solve for x
    x = 16,396,800/5,600
  6. Step 6: Final answer
    x = 2,928

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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.