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Finding the Fourth Proportional to 5,078.56, 7,008.32 and 2,982.24

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Solution

The fourth proportional to 5,078.56, 7,008.32 and 2,982.24 is: 4,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.56 : 7,008.32 = 2,982.24 : x
  2. Step 2: Convert to fraction form
    5,078.56/7,008.32 = 2,982.24/x
  3. Step 3: Cross multiply
    5,078.56x = 7,008.32 × 2,982.24
  4. Step 4: Simplify right side
    5,078.56x = 20,900,492.24
  5. Step 5: Solve for x
    x = 20,900,492.24/5,078.56
  6. Step 6: Final answer
    x = 4,115.44

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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.