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Finding the Fourth Proportional to 5,492.04, 7,578.99 and 2,974.14

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Solution

The fourth proportional to 5,492.04, 7,578.99 and 2,974.14 is: 4,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.04 : 7,578.99 = 2,974.14 : x
  2. Step 2: Convert to fraction form
    5,492.04/7,578.99 = 2,974.14/x
  3. Step 3: Cross multiply
    5,492.04x = 7,578.99 × 2,974.14
  4. Step 4: Simplify right side
    5,492.04x = 22,540,977.32
  5. Step 5: Solve for x
    x = 22,540,977.32/5,492.04
  6. Step 6: Final answer
    x = 4,104.30

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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.