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Finding the Fourth Proportional to 5,100.94, 7,039.34 and 2,862.87

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Solution

The fourth proportional to 5,100.94, 7,039.34 and 2,862.87 is: 3,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.94 : 7,039.34 = 2,862.87 : x
  2. Step 2: Convert to fraction form
    5,100.94/7,039.34 = 2,862.87/x
  3. Step 3: Cross multiply
    5,100.94x = 7,039.34 × 2,862.87
  4. Step 4: Simplify right side
    5,100.94x = 20,152,715.31
  5. Step 5: Solve for x
    x = 20,152,715.31/5,100.94
  6. Step 6: Final answer
    x = 3,950.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.