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Finding the Fourth Proportional to 3,714.94, 5,575.49 and 1,866.59

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Solution

The fourth proportional to 3,714.94, 5,575.49 and 1,866.59 is: 2,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.94 : 5,575.49 = 1,866.59 : x
  2. Step 2: Convert to fraction form
    3,714.94/5,575.49 = 1,866.59/x
  3. Step 3: Cross multiply
    3,714.94x = 5,575.49 × 1,866.59
  4. Step 4: Simplify right side
    3,714.94x = 10,407,144.58
  5. Step 5: Solve for x
    x = 10,407,144.58/3,714.94
  6. Step 6: Final answer
    x = 2,801.43

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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.