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Finding the Fourth Proportional to 2,716.36, 3,748.54 and 1,537.37

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Solution

The fourth proportional to 2,716.36, 3,748.54 and 1,537.37 is: 2,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.36 : 3,748.54 = 1,537.37 : x
  2. Step 2: Convert to fraction form
    2,716.36/3,748.54 = 1,537.37/x
  3. Step 3: Cross multiply
    2,716.36x = 3,748.54 × 1,537.37
  4. Step 4: Simplify right side
    2,716.36x = 5,762,892.94
  5. Step 5: Solve for x
    x = 5,762,892.94/2,716.36
  6. Step 6: Final answer
    x = 2,121.55

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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.