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Finding the Fourth Proportional to 5,308.88, 7,324.36 and 3,650

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Solution

The fourth proportional to 5,308.88, 7,324.36 and 3,650 is: 5,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.88 : 7,324.36 = 3,650 : x
  2. Step 2: Convert to fraction form
    5,308.88/7,324.36 = 3,650/x
  3. Step 3: Cross multiply
    5,308.88x = 7,324.36 × 3,650
  4. Step 4: Simplify right side
    5,308.88x = 26,733,914
  5. Step 5: Solve for x
    x = 26,733,914/5,308.88
  6. Step 6: Final answer
    x = 5,035.70

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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.