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Finding the Fourth Proportional to 5,457.59, 8,194.59 and 3,276.08

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Solution

The fourth proportional to 5,457.59, 8,194.59 and 3,276.08 is: 4,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.59 : 8,194.59 = 3,276.08 : x
  2. Step 2: Convert to fraction form
    5,457.59/8,194.59 = 3,276.08/x
  3. Step 3: Cross multiply
    5,457.59x = 8,194.59 × 3,276.08
  4. Step 4: Simplify right side
    5,457.59x = 26,846,132.41
  5. Step 5: Solve for x
    x = 26,846,132.41/5,457.59
  6. Step 6: Final answer
    x = 4,919.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.