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Finding the Fourth Proportional to 3,684.08, 5,525.92 and 1,492.22

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Solution

The fourth proportional to 3,684.08, 5,525.92 and 1,492.22 is: 2,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.08 : 5,525.92 = 1,492.22 : x
  2. Step 2: Convert to fraction form
    3,684.08/5,525.92 = 1,492.22/x
  3. Step 3: Cross multiply
    3,684.08x = 5,525.92 × 1,492.22
  4. Step 4: Simplify right side
    3,684.08x = 8,245,904.02
  5. Step 5: Solve for x
    x = 8,245,904.02/3,684.08
  6. Step 6: Final answer
    x = 2,238.25

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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.