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Finding the Fourth Proportional to 3,295.80, 4,943.70 and 2,971.80

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Solution

The fourth proportional to 3,295.80, 4,943.70 and 2,971.80 is: 4,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.80 : 4,943.70 = 2,971.80 : x
  2. Step 2: Convert to fraction form
    3,295.80/4,943.70 = 2,971.80/x
  3. Step 3: Cross multiply
    3,295.80x = 4,943.70 × 2,971.80
  4. Step 4: Simplify right side
    3,295.80x = 14,691,687.66
  5. Step 5: Solve for x
    x = 14,691,687.66/3,295.80
  6. Step 6: Final answer
    x = 4,457.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.