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Finding the Fourth Proportional to 5,311.54, 7,330.65 and 3,216.34

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Solution

The fourth proportional to 5,311.54, 7,330.65 and 3,216.34 is: 4,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.54 : 7,330.65 = 3,216.34 : x
  2. Step 2: Convert to fraction form
    5,311.54/7,330.65 = 3,216.34/x
  3. Step 3: Cross multiply
    5,311.54x = 7,330.65 × 3,216.34
  4. Step 4: Simplify right side
    5,311.54x = 23,577,862.82
  5. Step 5: Solve for x
    x = 23,577,862.82/5,311.54
  6. Step 6: Final answer
    x = 4,438.99

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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.