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Finding the Fourth Proportional to 3,754.54, 5,632.16 and 981.25

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Solution

The fourth proportional to 3,754.54, 5,632.16 and 981.25 is: 1,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.54 : 5,632.16 = 981.25 : x
  2. Step 2: Convert to fraction form
    3,754.54/5,632.16 = 981.25/x
  3. Step 3: Cross multiply
    3,754.54x = 5,632.16 × 981.25
  4. Step 4: Simplify right side
    3,754.54x = 5,526,557
  5. Step 5: Solve for x
    x = 5,526,557/3,754.54
  6. Step 6: Final answer
    x = 1,471.97

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Why These Related Problems?

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