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Finding the Fourth Proportional to 3,706.53, 5,559.78 and 1,514.87

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Solution

The fourth proportional to 3,706.53, 5,559.78 and 1,514.87 is: 2,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.53 : 5,559.78 = 1,514.87 : x
  2. Step 2: Convert to fraction form
    3,706.53/5,559.78 = 1,514.87/x
  3. Step 3: Cross multiply
    3,706.53x = 5,559.78 × 1,514.87
  4. Step 4: Simplify right side
    3,706.53x = 8,422,316.13
  5. Step 5: Solve for x
    x = 8,422,316.13/3,706.53
  6. Step 6: Final answer
    x = 2,272.29

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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.