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Finding the Fourth Proportional to 5,278.59, 7,282.17 and 3,181.50

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Solution

The fourth proportional to 5,278.59, 7,282.17 and 3,181.50 is: 4,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.59 : 7,282.17 = 3,181.50 : x
  2. Step 2: Convert to fraction form
    5,278.59/7,282.17 = 3,181.50/x
  3. Step 3: Cross multiply
    5,278.59x = 7,282.17 × 3,181.50
  4. Step 4: Simplify right side
    5,278.59x = 23,168,223.86
  5. Step 5: Solve for x
    x = 23,168,223.86/5,278.59
  6. Step 6: Final answer
    x = 4,389.09

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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.