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Finding the Fourth Proportional to 4,907.70, 7,362.06 and 1,620.81

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Solution

The fourth proportional to 4,907.70, 7,362.06 and 1,620.81 is: 2,431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.70 : 7,362.06 = 1,620.81 : x
  2. Step 2: Convert to fraction form
    4,907.70/7,362.06 = 1,620.81/x
  3. Step 3: Cross multiply
    4,907.70x = 7,362.06 × 1,620.81
  4. Step 4: Simplify right side
    4,907.70x = 11,932,500.47
  5. Step 5: Solve for x
    x = 11,932,500.47/4,907.70
  6. Step 6: Final answer
    x = 2,431.38

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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.