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Finding the Fourth Proportional to 5,407.94, 8,113.26 and 1,512.32

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Solution

The fourth proportional to 5,407.94, 8,113.26 and 1,512.32 is: 2,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.94 : 8,113.26 = 1,512.32 : x
  2. Step 2: Convert to fraction form
    5,407.94/8,113.26 = 1,512.32/x
  3. Step 3: Cross multiply
    5,407.94x = 8,113.26 × 1,512.32
  4. Step 4: Simplify right side
    5,407.94x = 12,269,804.80
  5. Step 5: Solve for x
    x = 12,269,804.80/5,407.94
  6. Step 6: Final answer
    x = 2,268.85

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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.