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Finding the Fourth Proportional to 5,086.50, 7,018.78 and 2,962.50

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Solution

The fourth proportional to 5,086.50, 7,018.78 and 2,962.50 is: 4,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.50 : 7,018.78 = 2,962.50 : x
  2. Step 2: Convert to fraction form
    5,086.50/7,018.78 = 2,962.50/x
  3. Step 3: Cross multiply
    5,086.50x = 7,018.78 × 2,962.50
  4. Step 4: Simplify right side
    5,086.50x = 20,793,102.02
  5. Step 5: Solve for x
    x = 20,793,102.02/5,086.50
  6. Step 6: Final answer
    x = 4,087.90

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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.