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Finding the Fourth Proportional to 5,355.86, 7,389.29 and 3,469.84

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Solution

The fourth proportional to 5,355.86, 7,389.29 and 3,469.84 is: 4,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.86 : 7,389.29 = 3,469.84 : x
  2. Step 2: Convert to fraction form
    5,355.86/7,389.29 = 3,469.84/x
  3. Step 3: Cross multiply
    5,355.86x = 7,389.29 × 3,469.84
  4. Step 4: Simplify right side
    5,355.86x = 25,639,644.21
  5. Step 5: Solve for x
    x = 25,639,644.21/5,355.86
  6. Step 6: Final answer
    x = 4,787.22

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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.