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Finding the Fourth Proportional to 4,204.78, 6,308.09 and 1,283.01

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Solution

The fourth proportional to 4,204.78, 6,308.09 and 1,283.01 is: 1,924.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.78 : 6,308.09 = 1,283.01 : x
  2. Step 2: Convert to fraction form
    4,204.78/6,308.09 = 1,283.01/x
  3. Step 3: Cross multiply
    4,204.78x = 6,308.09 × 1,283.01
  4. Step 4: Simplify right side
    4,204.78x = 8,093,342.55
  5. Step 5: Solve for x
    x = 8,093,342.55/4,204.78
  6. Step 6: Final answer
    x = 1,924.80

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