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Finding the Fourth Proportional to 5,409.94, 8,116.26 and 1,514.32

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Solution

The fourth proportional to 5,409.94, 8,116.26 and 1,514.32 is: 2,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.94 : 8,116.26 = 1,514.32 : x
  2. Step 2: Convert to fraction form
    5,409.94/8,116.26 = 1,514.32/x
  3. Step 3: Cross multiply
    5,409.94x = 8,116.26 × 1,514.32
  4. Step 4: Simplify right side
    5,409.94x = 12,290,614.84
  5. Step 5: Solve for x
    x = 12,290,614.84/5,409.94
  6. Step 6: Final answer
    x = 2,271.86

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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.