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Finding the Fourth Proportional to 3,663.36, 5,492.16 and 1,471.32

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Solution

The fourth proportional to 3,663.36, 5,492.16 and 1,471.32 is: 2,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.36 : 5,492.16 = 1,471.32 : x
  2. Step 2: Convert to fraction form
    3,663.36/5,492.16 = 1,471.32/x
  3. Step 3: Cross multiply
    3,663.36x = 5,492.16 × 1,471.32
  4. Step 4: Simplify right side
    3,663.36x = 8,080,724.85
  5. Step 5: Solve for x
    x = 8,080,724.85/3,663.36
  6. Step 6: Final answer
    x = 2,205.82

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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.