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Finding the Fourth Proportional to 4,992, 7,487.69 and 1,949.37

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Solution

The fourth proportional to 4,992, 7,487.69 and 1,949.37 is: 2,923.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992 : 7,487.69 = 1,949.37 : x
  2. Step 2: Convert to fraction form
    4,992/7,487.69 = 1,949.37/x
  3. Step 3: Cross multiply
    4,992x = 7,487.69 × 1,949.37
  4. Step 4: Simplify right side
    4,992x = 14,596,268.51
  5. Step 5: Solve for x
    x = 14,596,268.51/4,992
  6. Step 6: Final answer
    x = 2,923.93

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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.