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Finding the Fourth Proportional to 5,288.96, 7,932.81 and 1,393.67

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Solution

The fourth proportional to 5,288.96, 7,932.81 and 1,393.67 is: 2,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.96 : 7,932.81 = 1,393.67 : x
  2. Step 2: Convert to fraction form
    5,288.96/7,932.81 = 1,393.67/x
  3. Step 3: Cross multiply
    5,288.96x = 7,932.81 × 1,393.67
  4. Step 4: Simplify right side
    5,288.96x = 11,055,719.31
  5. Step 5: Solve for x
    x = 11,055,719.31/5,288.96
  6. Step 6: Final answer
    x = 2,090.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.