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Finding the Fourth Proportional to 4,527.44, 6,787.50 and 4,269.86

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Solution

The fourth proportional to 4,527.44, 6,787.50 and 4,269.86 is: 6,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.44 : 6,787.50 = 4,269.86 : x
  2. Step 2: Convert to fraction form
    4,527.44/6,787.50 = 4,269.86/x
  3. Step 3: Cross multiply
    4,527.44x = 6,787.50 × 4,269.86
  4. Step 4: Simplify right side
    4,527.44x = 28,981,674.75
  5. Step 5: Solve for x
    x = 28,981,674.75/4,527.44
  6. Step 6: Final answer
    x = 6,401.34

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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.