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Finding the Fourth Proportional to 4,821.86, 7,236.89 and 3,438.59

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Solution

The fourth proportional to 4,821.86, 7,236.89 and 3,438.59 is: 5,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.86 : 7,236.89 = 3,438.59 : x
  2. Step 2: Convert to fraction form
    4,821.86/7,236.89 = 3,438.59/x
  3. Step 3: Cross multiply
    4,821.86x = 7,236.89 × 3,438.59
  4. Step 4: Simplify right side
    4,821.86x = 24,884,644.21
  5. Step 5: Solve for x
    x = 24,884,644.21/4,821.86
  6. Step 6: Final answer
    x = 5,160.80

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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.