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Finding the Fourth Proportional to 3,705.71, 5,557.62 and 1,514.03

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Solution

The fourth proportional to 3,705.71, 5,557.62 and 1,514.03 is: 2,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.71 : 5,557.62 = 1,514.03 : x
  2. Step 2: Convert to fraction form
    3,705.71/5,557.62 = 1,514.03/x
  3. Step 3: Cross multiply
    3,705.71x = 5,557.62 × 1,514.03
  4. Step 4: Simplify right side
    3,705.71x = 8,414,403.41
  5. Step 5: Solve for x
    x = 8,414,403.41/3,705.71
  6. Step 6: Final answer
    x = 2,270.66

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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.