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Finding the Fourth Proportional to 3,588.67, 4,921.46 and 3,438.99

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Solution

The fourth proportional to 3,588.67, 4,921.46 and 3,438.99 is: 4,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.67 : 4,921.46 = 3,438.99 : x
  2. Step 2: Convert to fraction form
    3,588.67/4,921.46 = 3,438.99/x
  3. Step 3: Cross multiply
    3,588.67x = 4,921.46 × 3,438.99
  4. Step 4: Simplify right side
    3,588.67x = 16,924,851.73
  5. Step 5: Solve for x
    x = 16,924,851.73/3,588.67
  6. Step 6: Final answer
    x = 4,716.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.