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Finding the Fourth Proportional to 5,283.33, 7,927.01 and 3,204.82

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Solution

The fourth proportional to 5,283.33, 7,927.01 and 3,204.82 is: 4,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.33 : 7,927.01 = 3,204.82 : x
  2. Step 2: Convert to fraction form
    5,283.33/7,927.01 = 3,204.82/x
  3. Step 3: Cross multiply
    5,283.33x = 7,927.01 × 3,204.82
  4. Step 4: Simplify right side
    5,283.33x = 25,404,619.53
  5. Step 5: Solve for x
    x = 25,404,619.53/5,283.33
  6. Step 6: Final answer
    x = 4,808.45

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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.