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Finding the Fourth Proportional to 5,732.10, 7,900.71 and 3,959.82

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Solution

The fourth proportional to 5,732.10, 7,900.71 and 3,959.82 is: 5,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.10 : 7,900.71 = 3,959.82 : x
  2. Step 2: Convert to fraction form
    5,732.10/7,900.71 = 3,959.82/x
  3. Step 3: Cross multiply
    5,732.10x = 7,900.71 × 3,959.82
  4. Step 4: Simplify right side
    5,732.10x = 31,285,389.47
  5. Step 5: Solve for x
    x = 31,285,389.47/5,732.10
  6. Step 6: Final answer
    x = 5,457.93

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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.