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Finding the Fourth Proportional to 5,735.85, 7,903.35 and 5,341.39

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Solution

The fourth proportional to 5,735.85, 7,903.35 and 5,341.39 is: 7,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.85 : 7,903.35 = 5,341.39 : x
  2. Step 2: Convert to fraction form
    5,735.85/7,903.35 = 5,341.39/x
  3. Step 3: Cross multiply
    5,735.85x = 7,903.35 × 5,341.39
  4. Step 4: Simplify right side
    5,735.85x = 42,214,884.33
  5. Step 5: Solve for x
    x = 42,214,884.33/5,735.85
  6. Step 6: Final answer
    x = 7,359.83

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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.