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Finding the Fourth Proportional to 5,852.96, 8,077.05 and 3,200.38

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Solution

The fourth proportional to 5,852.96, 8,077.05 and 3,200.38 is: 4,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.96 : 8,077.05 = 3,200.38 : x
  2. Step 2: Convert to fraction form
    5,852.96/8,077.05 = 3,200.38/x
  3. Step 3: Cross multiply
    5,852.96x = 8,077.05 × 3,200.38
  4. Step 4: Simplify right side
    5,852.96x = 25,849,609.09
  5. Step 5: Solve for x
    x = 25,849,609.09/5,852.96
  6. Step 6: Final answer
    x = 4,416.50

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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.