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Finding the Fourth Proportional to 5,947.80, 8,199.90 and 5,014.68

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Solution

The fourth proportional to 5,947.80, 8,199.90 and 5,014.68 is: 6,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.80 : 8,199.90 = 5,014.68 : x
  2. Step 2: Convert to fraction form
    5,947.80/8,199.90 = 5,014.68/x
  3. Step 3: Cross multiply
    5,947.80x = 8,199.90 × 5,014.68
  4. Step 4: Simplify right side
    5,947.80x = 41,119,874.53
  5. Step 5: Solve for x
    x = 41,119,874.53/5,947.80
  6. Step 6: Final answer
    x = 6,913.46

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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.