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Finding the Fourth Proportional to 4,969.59, 6,857.90 and 2,731.47

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Solution

The fourth proportional to 4,969.59, 6,857.90 and 2,731.47 is: 3,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.59 : 6,857.90 = 2,731.47 : x
  2. Step 2: Convert to fraction form
    4,969.59/6,857.90 = 2,731.47/x
  3. Step 3: Cross multiply
    4,969.59x = 6,857.90 × 2,731.47
  4. Step 4: Simplify right side
    4,969.59x = 18,732,134.46
  5. Step 5: Solve for x
    x = 18,732,134.46/4,969.59
  6. Step 6: Final answer
    x = 3,769.35

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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.