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Finding the Fourth Proportional to 5,533.35, 8,311.09 and 3,457.05

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Solution

The fourth proportional to 5,533.35, 8,311.09 and 3,457.05 is: 5,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.35 : 8,311.09 = 3,457.05 : x
  2. Step 2: Convert to fraction form
    5,533.35/8,311.09 = 3,457.05/x
  3. Step 3: Cross multiply
    5,533.35x = 8,311.09 × 3,457.05
  4. Step 4: Simplify right side
    5,533.35x = 28,731,853.68
  5. Step 5: Solve for x
    x = 28,731,853.68/5,533.35
  6. Step 6: Final answer
    x = 5,192.49

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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.