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Finding the Fourth Proportional to 3,834.86, 5,289.06 and 2,489

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Solution

The fourth proportional to 3,834.86, 5,289.06 and 2,489 is: 3,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.86 : 5,289.06 = 2,489 : x
  2. Step 2: Convert to fraction form
    3,834.86/5,289.06 = 2,489/x
  3. Step 3: Cross multiply
    3,834.86x = 5,289.06 × 2,489
  4. Step 4: Simplify right side
    3,834.86x = 13,164,470.34
  5. Step 5: Solve for x
    x = 13,164,470.34/3,834.86
  6. Step 6: Final answer
    x = 3,432.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.