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Finding the Fourth Proportional to 4,671.57, 6,446.70 and 2,682.21

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Solution

The fourth proportional to 4,671.57, 6,446.70 and 2,682.21 is: 3,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.57 : 6,446.70 = 2,682.21 : x
  2. Step 2: Convert to fraction form
    4,671.57/6,446.70 = 2,682.21/x
  3. Step 3: Cross multiply
    4,671.57x = 6,446.70 × 2,682.21
  4. Step 4: Simplify right side
    4,671.57x = 17,291,403.21
  5. Step 5: Solve for x
    x = 17,291,403.21/4,671.57
  6. Step 6: Final answer
    x = 3,701.41

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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.