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Finding the Fourth Proportional to 3,714.89, 5,573.19 and 1,082.46

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Solution

The fourth proportional to 3,714.89, 5,573.19 and 1,082.46 is: 1,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.89 : 5,573.19 = 1,082.46 : x
  2. Step 2: Convert to fraction form
    3,714.89/5,573.19 = 1,082.46/x
  3. Step 3: Cross multiply
    3,714.89x = 5,573.19 × 1,082.46
  4. Step 4: Simplify right side
    3,714.89x = 6,032,755.25
  5. Step 5: Solve for x
    x = 6,032,755.25/3,714.89
  6. Step 6: Final answer
    x = 1,623.94

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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.