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Finding the Fourth Proportional to 3,548.37, 5,318.96 and 1,696.77

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Solution

The fourth proportional to 3,548.37, 5,318.96 and 1,696.77 is: 2,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.37 : 5,318.96 = 1,696.77 : x
  2. Step 2: Convert to fraction form
    3,548.37/5,318.96 = 1,696.77/x
  3. Step 3: Cross multiply
    3,548.37x = 5,318.96 × 1,696.77
  4. Step 4: Simplify right side
    3,548.37x = 9,025,043.28
  5. Step 5: Solve for x
    x = 9,025,043.28/3,548.37
  6. Step 6: Final answer
    x = 2,543.43

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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.