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Finding the Fourth Proportional to 3,690.37, 5,534.60 and 1,092.70

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Solution

The fourth proportional to 3,690.37, 5,534.60 and 1,092.70 is: 1,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.37 : 5,534.60 = 1,092.70 : x
  2. Step 2: Convert to fraction form
    3,690.37/5,534.60 = 1,092.70/x
  3. Step 3: Cross multiply
    3,690.37x = 5,534.60 × 1,092.70
  4. Step 4: Simplify right side
    3,690.37x = 6,047,646.32
  5. Step 5: Solve for x
    x = 6,047,646.32/3,690.37
  6. Step 6: Final answer
    x = 1,638.77

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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.