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Finding the Fourth Proportional to 6,468.56, 8,926.44 and 3,674

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Solution

The fourth proportional to 6,468.56, 8,926.44 and 3,674 is: 5,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.56 : 8,926.44 = 3,674 : x
  2. Step 2: Convert to fraction form
    6,468.56/8,926.44 = 3,674/x
  3. Step 3: Cross multiply
    6,468.56x = 8,926.44 × 3,674
  4. Step 4: Simplify right side
    6,468.56x = 32,795,740.56
  5. Step 5: Solve for x
    x = 32,795,740.56/6,468.56
  6. Step 6: Final answer
    x = 5,070.02

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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.