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Finding the Fourth Proportional to 5,671.81, 7,825.01 and 3,432.86

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Solution

The fourth proportional to 5,671.81, 7,825.01 and 3,432.86 is: 4,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.81 : 7,825.01 = 3,432.86 : x
  2. Step 2: Convert to fraction form
    5,671.81/7,825.01 = 3,432.86/x
  3. Step 3: Cross multiply
    5,671.81x = 7,825.01 × 3,432.86
  4. Step 4: Simplify right side
    5,671.81x = 26,862,191.97
  5. Step 5: Solve for x
    x = 26,862,191.97/5,671.81
  6. Step 6: Final answer
    x = 4,736.09

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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.