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Finding the Fourth Proportional to 4,671.41, 6,446.28 and 2,681.83

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Solution

The fourth proportional to 4,671.41, 6,446.28 and 2,681.83 is: 3,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.41 : 6,446.28 = 2,681.83 : x
  2. Step 2: Convert to fraction form
    4,671.41/6,446.28 = 2,681.83/x
  3. Step 3: Cross multiply
    4,671.41x = 6,446.28 × 2,681.83
  4. Step 4: Simplify right side
    4,671.41x = 17,287,827.09
  5. Step 5: Solve for x
    x = 17,287,827.09/4,671.41
  6. Step 6: Final answer
    x = 3,700.78

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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.