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Finding the Fourth Proportional to 5,892.50, 8,133.05 and 3,376.05

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Solution

The fourth proportional to 5,892.50, 8,133.05 and 3,376.05 is: 4,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.50 : 8,133.05 = 3,376.05 : x
  2. Step 2: Convert to fraction form
    5,892.50/8,133.05 = 3,376.05/x
  3. Step 3: Cross multiply
    5,892.50x = 8,133.05 × 3,376.05
  4. Step 4: Simplify right side
    5,892.50x = 27,457,566.57
  5. Step 5: Solve for x
    x = 27,457,566.57/5,892.50
  6. Step 6: Final answer
    x = 4,659.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.