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Finding the Fourth Proportional to 4,923.51, 7,378.89 and 1,998.42

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Solution

The fourth proportional to 4,923.51, 7,378.89 and 1,998.42 is: 2,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.51 : 7,378.89 = 1,998.42 : x
  2. Step 2: Convert to fraction form
    4,923.51/7,378.89 = 1,998.42/x
  3. Step 3: Cross multiply
    4,923.51x = 7,378.89 × 1,998.42
  4. Step 4: Simplify right side
    4,923.51x = 14,746,121.35
  5. Step 5: Solve for x
    x = 14,746,121.35/4,923.51
  6. Step 6: Final answer
    x = 2,995.04

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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.