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Finding the Fourth Proportional to 5,383.24, 7,410.90 and 5,135.56

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Solution

The fourth proportional to 5,383.24, 7,410.90 and 5,135.56 is: 7,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.24 : 7,410.90 = 5,135.56 : x
  2. Step 2: Convert to fraction form
    5,383.24/7,410.90 = 5,135.56/x
  3. Step 3: Cross multiply
    5,383.24x = 7,410.90 × 5,135.56
  4. Step 4: Simplify right side
    5,383.24x = 38,059,121.60
  5. Step 5: Solve for x
    x = 38,059,121.60/5,383.24
  6. Step 6: Final answer
    x = 7,069.93

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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.