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Finding the Fourth Proportional to 4,946.62, 7,419.93 and 1,986.42

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Solution

The fourth proportional to 4,946.62, 7,419.93 and 1,986.42 is: 2,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.62 : 7,419.93 = 1,986.42 : x
  2. Step 2: Convert to fraction form
    4,946.62/7,419.93 = 1,986.42/x
  3. Step 3: Cross multiply
    4,946.62x = 7,419.93 × 1,986.42
  4. Step 4: Simplify right side
    4,946.62x = 14,739,097.35
  5. Step 5: Solve for x
    x = 14,739,097.35/4,946.62
  6. Step 6: Final answer
    x = 2,979.63

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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.