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Finding the Fourth Proportional to 4,671.31, 6,446.41 and 2,546.84

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Solution

The fourth proportional to 4,671.31, 6,446.41 and 2,546.84 is: 3,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.31 : 6,446.41 = 2,546.84 : x
  2. Step 2: Convert to fraction form
    4,671.31/6,446.41 = 2,546.84/x
  3. Step 3: Cross multiply
    4,671.31x = 6,446.41 × 2,546.84
  4. Step 4: Simplify right side
    4,671.31x = 16,417,974.84
  5. Step 5: Solve for x
    x = 16,417,974.84/4,671.31
  6. Step 6: Final answer
    x = 3,514.64

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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.