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Finding the Fourth Proportional to 4,942.62, 7,406.64 and 4,665.60

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Solution

The fourth proportional to 4,942.62, 7,406.64 and 4,665.60 is: 6,991.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.62 : 7,406.64 = 4,665.60 : x
  2. Step 2: Convert to fraction form
    4,942.62/7,406.64 = 4,665.60/x
  3. Step 3: Cross multiply
    4,942.62x = 7,406.64 × 4,665.60
  4. Step 4: Simplify right side
    4,942.62x = 34,556,419.58
  5. Step 5: Solve for x
    x = 34,556,419.58/4,942.62
  6. Step 6: Final answer
    x = 6,991.52

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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.