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Finding the Fourth Proportional to 5,154.78, 7,730.34 and 3,181.46

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Solution

The fourth proportional to 5,154.78, 7,730.34 and 3,181.46 is: 4,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.78 : 7,730.34 = 3,181.46 : x
  2. Step 2: Convert to fraction form
    5,154.78/7,730.34 = 3,181.46/x
  3. Step 3: Cross multiply
    5,154.78x = 7,730.34 × 3,181.46
  4. Step 4: Simplify right side
    5,154.78x = 24,593,767.50
  5. Step 5: Solve for x
    x = 24,593,767.50/5,154.78
  6. Step 6: Final answer
    x = 4,771.06

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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.