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Finding the Fourth Proportional to 3,649.36, 5,472.66 and 1,308.72

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Solution

The fourth proportional to 3,649.36, 5,472.66 and 1,308.72 is: 1,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.36 : 5,472.66 = 1,308.72 : x
  2. Step 2: Convert to fraction form
    3,649.36/5,472.66 = 1,308.72/x
  3. Step 3: Cross multiply
    3,649.36x = 5,472.66 × 1,308.72
  4. Step 4: Simplify right side
    3,649.36x = 7,162,179.60
  5. Step 5: Solve for x
    x = 7,162,179.60/3,649.36
  6. Step 6: Final answer
    x = 1,962.59

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