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Finding the Fourth Proportional to 3,649.53, 5,474.23 and 2,476.62

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Solution

The fourth proportional to 3,649.53, 5,474.23 and 2,476.62 is: 3,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.53 : 5,474.23 = 2,476.62 : x
  2. Step 2: Convert to fraction form
    3,649.53/5,474.23 = 2,476.62/x
  3. Step 3: Cross multiply
    3,649.53x = 5,474.23 × 2,476.62
  4. Step 4: Simplify right side
    3,649.53x = 13,557,587.50
  5. Step 5: Solve for x
    x = 13,557,587.50/3,649.53
  6. Step 6: Final answer
    x = 3,714.89

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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.