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Finding the Fourth Proportional to 5,385, 8,077.42 and 1,874.94

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Solution

The fourth proportional to 5,385, 8,077.42 and 1,874.94 is: 2,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385 : 8,077.42 = 1,874.94 : x
  2. Step 2: Convert to fraction form
    5,385/8,077.42 = 1,874.94/x
  3. Step 3: Cross multiply
    5,385x = 8,077.42 × 1,874.94
  4. Step 4: Simplify right side
    5,385x = 15,144,677.85
  5. Step 5: Solve for x
    x = 15,144,677.85/5,385
  6. Step 6: Final answer
    x = 2,812.38

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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.