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Finding the Fourth Proportional to 4,923.96, 7,385.94 and 1,804.38

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Solution

The fourth proportional to 4,923.96, 7,385.94 and 1,804.38 is: 2,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.96 : 7,385.94 = 1,804.38 : x
  2. Step 2: Convert to fraction form
    4,923.96/7,385.94 = 1,804.38/x
  3. Step 3: Cross multiply
    4,923.96x = 7,385.94 × 1,804.38
  4. Step 4: Simplify right side
    4,923.96x = 13,327,042.42
  5. Step 5: Solve for x
    x = 13,327,042.42/4,923.96
  6. Step 6: Final answer
    x = 2,706.57

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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.