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Finding the Fourth Proportional to 4,946.54, 7,423.43 and 3,984.26

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Solution

The fourth proportional to 4,946.54, 7,423.43 and 3,984.26 is: 5,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.54 : 7,423.43 = 3,984.26 : x
  2. Step 2: Convert to fraction form
    4,946.54/7,423.43 = 3,984.26/x
  3. Step 3: Cross multiply
    4,946.54x = 7,423.43 × 3,984.26
  4. Step 4: Simplify right side
    4,946.54x = 29,576,848.06
  5. Step 5: Solve for x
    x = 29,576,848.06/4,946.54
  6. Step 6: Final answer
    x = 5,979.31

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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.