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Finding the Fourth Proportional to 3,660.57, 5,492.49 and 1,714.41

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Solution

The fourth proportional to 3,660.57, 5,492.49 and 1,714.41 is: 2,572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.57 : 5,492.49 = 1,714.41 : x
  2. Step 2: Convert to fraction form
    3,660.57/5,492.49 = 1,714.41/x
  3. Step 3: Cross multiply
    3,660.57x = 5,492.49 × 1,714.41
  4. Step 4: Simplify right side
    3,660.57x = 9,416,379.78
  5. Step 5: Solve for x
    x = 9,416,379.78/3,660.57
  6. Step 6: Final answer
    x = 2,572.38

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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.