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Finding the Fourth Proportional to 5,492.30, 7,578.02 and 3,254.07

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Solution

The fourth proportional to 5,492.30, 7,578.02 and 3,254.07 is: 4,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.30 : 7,578.02 = 3,254.07 : x
  2. Step 2: Convert to fraction form
    5,492.30/7,578.02 = 3,254.07/x
  3. Step 3: Cross multiply
    5,492.30x = 7,578.02 × 3,254.07
  4. Step 4: Simplify right side
    5,492.30x = 24,659,407.54
  5. Step 5: Solve for x
    x = 24,659,407.54/5,492.30
  6. Step 6: Final answer
    x = 4,489.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.