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Finding the Fourth Proportional to 4,203.42, 5,800.64 and 2,632.38

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Solution

The fourth proportional to 4,203.42, 5,800.64 and 2,632.38 is: 3,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.42 : 5,800.64 = 2,632.38 : x
  2. Step 2: Convert to fraction form
    4,203.42/5,800.64 = 2,632.38/x
  3. Step 3: Cross multiply
    4,203.42x = 5,800.64 × 2,632.38
  4. Step 4: Simplify right side
    4,203.42x = 15,269,475.56
  5. Step 5: Solve for x
    x = 15,269,475.56/4,203.42
  6. Step 6: Final answer
    x = 3,632.63

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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.