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Finding the Fourth Proportional to 3,662.48, 5,492.58 and 1,322.18

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Solution

The fourth proportional to 3,662.48, 5,492.58 and 1,322.18 is: 1,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.48 : 5,492.58 = 1,322.18 : x
  2. Step 2: Convert to fraction form
    3,662.48/5,492.58 = 1,322.18/x
  3. Step 3: Cross multiply
    3,662.48x = 5,492.58 × 1,322.18
  4. Step 4: Simplify right side
    3,662.48x = 7,262,179.42
  5. Step 5: Solve for x
    x = 7,262,179.42/3,662.48
  6. Step 6: Final answer
    x = 1,982.86

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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.