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Finding the Fourth Proportional to 5,402.94, 8,104.74 and 1,892.53

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Solution

The fourth proportional to 5,402.94, 8,104.74 and 1,892.53 is: 2,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.94 : 8,104.74 = 1,892.53 : x
  2. Step 2: Convert to fraction form
    5,402.94/8,104.74 = 1,892.53/x
  3. Step 3: Cross multiply
    5,402.94x = 8,104.74 × 1,892.53
  4. Step 4: Simplify right side
    5,402.94x = 15,338,463.59
  5. Step 5: Solve for x
    x = 15,338,463.59/5,402.94
  6. Step 6: Final answer
    x = 2,838.91

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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.