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Finding the Fourth Proportional to 5,409.96, 8,114.96 and 1,514.40

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Solution

The fourth proportional to 5,409.96, 8,114.96 and 1,514.40 is: 2,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.96 : 8,114.96 = 1,514.40 : x
  2. Step 2: Convert to fraction form
    5,409.96/8,114.96 = 1,514.40/x
  3. Step 3: Cross multiply
    5,409.96x = 8,114.96 × 1,514.40
  4. Step 4: Simplify right side
    5,409.96x = 12,289,295.42
  5. Step 5: Solve for x
    x = 12,289,295.42/5,409.96
  6. Step 6: Final answer
    x = 2,271.61

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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.