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Finding the Fourth Proportional to 6,459.28, 8,914.50 and 3,942.88

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Solution

The fourth proportional to 6,459.28, 8,914.50 and 3,942.88 is: 5,441.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.28 : 8,914.50 = 3,942.88 : x
  2. Step 2: Convert to fraction form
    6,459.28/8,914.50 = 3,942.88/x
  3. Step 3: Cross multiply
    6,459.28x = 8,914.50 × 3,942.88
  4. Step 4: Simplify right side
    6,459.28x = 35,148,803.76
  5. Step 5: Solve for x
    x = 35,148,803.76/6,459.28
  6. Step 6: Final answer
    x = 5,441.60

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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.