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Finding the Fourth Proportional to 3,541.96, 5,312.94 and 1,201.97

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Solution

The fourth proportional to 3,541.96, 5,312.94 and 1,201.97 is: 1,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.96 : 5,312.94 = 1,201.97 : x
  2. Step 2: Convert to fraction form
    3,541.96/5,312.94 = 1,201.97/x
  3. Step 3: Cross multiply
    3,541.96x = 5,312.94 × 1,201.97
  4. Step 4: Simplify right side
    3,541.96x = 6,386,010.03
  5. Step 5: Solve for x
    x = 6,386,010.03/3,541.96
  6. Step 6: Final answer
    x = 1,802.96

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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.