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Finding the Fourth Proportional to 3,541.68, 5,313.30 and 1,201.53

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Solution

The fourth proportional to 3,541.68, 5,313.30 and 1,201.53 is: 1,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.68 : 5,313.30 = 1,201.53 : x
  2. Step 2: Convert to fraction form
    3,541.68/5,313.30 = 1,201.53/x
  3. Step 3: Cross multiply
    3,541.68x = 5,313.30 × 1,201.53
  4. Step 4: Simplify right side
    3,541.68x = 6,384,089.35
  5. Step 5: Solve for x
    x = 6,384,089.35/3,541.68
  6. Step 6: Final answer
    x = 1,802.56

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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.