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Finding the Fourth Proportional to 5,283.45, 7,921.45 and 2,649.08

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Solution

The fourth proportional to 5,283.45, 7,921.45 and 2,649.08 is: 3,971.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.45 : 7,921.45 = 2,649.08 : x
  2. Step 2: Convert to fraction form
    5,283.45/7,921.45 = 2,649.08/x
  3. Step 3: Cross multiply
    5,283.45x = 7,921.45 × 2,649.08
  4. Step 4: Simplify right side
    5,283.45x = 20,984,540.70
  5. Step 5: Solve for x
    x = 20,984,540.70/5,283.45
  6. Step 6: Final answer
    x = 3,971.75

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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.