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Finding the Fourth Proportional to 4,547.28, 6,821 and 1,469.28

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Solution

The fourth proportional to 4,547.28, 6,821 and 1,469.28 is: 2,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.28 : 6,821 = 1,469.28 : x
  2. Step 2: Convert to fraction form
    4,547.28/6,821 = 1,469.28/x
  3. Step 3: Cross multiply
    4,547.28x = 6,821 × 1,469.28
  4. Step 4: Simplify right side
    4,547.28x = 10,021,958.88
  5. Step 5: Solve for x
    x = 10,021,958.88/4,547.28
  6. Step 6: Final answer
    x = 2,203.95

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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.