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Finding the Fourth Proportional to 5,540.50, 8,300.10 and 4,364.29

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Solution

The fourth proportional to 5,540.50, 8,300.10 and 4,364.29 is: 6,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.50 : 8,300.10 = 4,364.29 : x
  2. Step 2: Convert to fraction form
    5,540.50/8,300.10 = 4,364.29/x
  3. Step 3: Cross multiply
    5,540.50x = 8,300.10 × 4,364.29
  4. Step 4: Simplify right side
    5,540.50x = 36,224,043.43
  5. Step 5: Solve for x
    x = 36,224,043.43/5,540.50
  6. Step 6: Final answer
    x = 6,538.05

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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.