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Finding the Fourth Proportional to 5,735.28, 7,913.70 and 3,377.88

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Solution

The fourth proportional to 5,735.28, 7,913.70 and 3,377.88 is: 4,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.28 : 7,913.70 = 3,377.88 : x
  2. Step 2: Convert to fraction form
    5,735.28/7,913.70 = 3,377.88/x
  3. Step 3: Cross multiply
    5,735.28x = 7,913.70 × 3,377.88
  4. Step 4: Simplify right side
    5,735.28x = 26,731,528.96
  5. Step 5: Solve for x
    x = 26,731,528.96/5,735.28
  6. Step 6: Final answer
    x = 4,660.89

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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.