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Finding the Fourth Proportional to 4,646.97, 6,414.08 and 2,877.62

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Solution

The fourth proportional to 4,646.97, 6,414.08 and 2,877.62 is: 3,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.97 : 6,414.08 = 2,877.62 : x
  2. Step 2: Convert to fraction form
    4,646.97/6,414.08 = 2,877.62/x
  3. Step 3: Cross multiply
    4,646.97x = 6,414.08 × 2,877.62
  4. Step 4: Simplify right side
    4,646.97x = 18,457,238.43
  5. Step 5: Solve for x
    x = 18,457,238.43/4,646.97
  6. Step 6: Final answer
    x = 3,971.89

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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.