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Finding the Fourth Proportional to 5,409.46, 8,114.21 and 1,513.90

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Solution

The fourth proportional to 5,409.46, 8,114.21 and 1,513.90 is: 2,270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.46 : 8,114.21 = 1,513.90 : x
  2. Step 2: Convert to fraction form
    5,409.46/8,114.21 = 1,513.90/x
  3. Step 3: Cross multiply
    5,409.46x = 8,114.21 × 1,513.90
  4. Step 4: Simplify right side
    5,409.46x = 12,284,102.52
  5. Step 5: Solve for x
    x = 12,284,102.52/5,409.46
  6. Step 6: Final answer
    x = 2,270.86

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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.