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Finding the Fourth Proportional to 3,714.26, 5,572.29 and 1,860.77

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Solution

The fourth proportional to 3,714.26, 5,572.29 and 1,860.77 is: 2,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.26 : 5,572.29 = 1,860.77 : x
  2. Step 2: Convert to fraction form
    3,714.26/5,572.29 = 1,860.77/x
  3. Step 3: Cross multiply
    3,714.26x = 5,572.29 × 1,860.77
  4. Step 4: Simplify right side
    3,714.26x = 10,368,722.20
  5. Step 5: Solve for x
    x = 10,368,722.20/3,714.26
  6. Step 6: Final answer
    x = 2,791.60

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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.