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Finding the Fourth Proportional to 3,690.72, 5,536.16 and 1,192.38

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Solution

The fourth proportional to 3,690.72, 5,536.16 and 1,192.38 is: 1,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.72 : 5,536.16 = 1,192.38 : x
  2. Step 2: Convert to fraction form
    3,690.72/5,536.16 = 1,192.38/x
  3. Step 3: Cross multiply
    3,690.72x = 5,536.16 × 1,192.38
  4. Step 4: Simplify right side
    3,690.72x = 6,601,206.46
  5. Step 5: Solve for x
    x = 6,601,206.46/3,690.72
  6. Step 6: Final answer
    x = 1,788.60

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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.