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Finding the Fourth Proportional to 4,182.03, 5,772.51 and 2,414.88

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Solution

The fourth proportional to 4,182.03, 5,772.51 and 2,414.88 is: 3,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.03 : 5,772.51 = 2,414.88 : x
  2. Step 2: Convert to fraction form
    4,182.03/5,772.51 = 2,414.88/x
  3. Step 3: Cross multiply
    4,182.03x = 5,772.51 × 2,414.88
  4. Step 4: Simplify right side
    4,182.03x = 13,939,918.95
  5. Step 5: Solve for x
    x = 13,939,918.95/4,182.03
  6. Step 6: Final answer
    x = 3,333.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.