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Finding the Fourth Proportional to 5,181.84, 7,150.88 and 2,824.00

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Solution

The fourth proportional to 5,181.84, 7,150.88 and 2,824.00 is: 3,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.84 : 7,150.88 = 2,824.00 : x
  2. Step 2: Convert to fraction form
    5,181.84/7,150.88 = 2,824.00/x
  3. Step 3: Cross multiply
    5,181.84x = 7,150.88 × 2,824.00
  4. Step 4: Simplify right side
    5,181.84x = 20,194,074.30
  5. Step 5: Solve for x
    x = 20,194,074.30/5,181.84
  6. Step 6: Final answer
    x = 3,897.09

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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.