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Finding the Fourth Proportional to 4,671.13, 6,446.12 and 2,546.60

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Solution

The fourth proportional to 4,671.13, 6,446.12 and 2,546.60 is: 3,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.13 : 6,446.12 = 2,546.60 : x
  2. Step 2: Convert to fraction form
    4,671.13/6,446.12 = 2,546.60/x
  3. Step 3: Cross multiply
    4,671.13x = 6,446.12 × 2,546.60
  4. Step 4: Simplify right side
    4,671.13x = 16,415,676.46
  5. Step 5: Solve for x
    x = 16,415,676.46/4,671.13
  6. Step 6: Final answer
    x = 3,514.28

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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.