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Finding the Fourth Proportional to 5,096.35, 7,032.43 and 2,858.46

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Solution

The fourth proportional to 5,096.35, 7,032.43 and 2,858.46 is: 3,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.35 : 7,032.43 = 2,858.46 : x
  2. Step 2: Convert to fraction form
    5,096.35/7,032.43 = 2,858.46/x
  3. Step 3: Cross multiply
    5,096.35x = 7,032.43 × 2,858.46
  4. Step 4: Simplify right side
    5,096.35x = 20,101,919.86
  5. Step 5: Solve for x
    x = 20,101,919.86/5,096.35
  6. Step 6: Final answer
    x = 3,944.38

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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.