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Finding the Fourth Proportional to 4,671.28, 6,446.37 and 2,681.97

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Solution

The fourth proportional to 4,671.28, 6,446.37 and 2,681.97 is: 3,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.28 : 6,446.37 = 2,681.97 : x
  2. Step 2: Convert to fraction form
    4,671.28/6,446.37 = 2,681.97/x
  3. Step 3: Cross multiply
    4,671.28x = 6,446.37 × 2,681.97
  4. Step 4: Simplify right side
    4,671.28x = 17,288,956.83
  5. Step 5: Solve for x
    x = 17,288,956.83/4,671.28
  6. Step 6: Final answer
    x = 3,701.12

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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.