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Finding the Fourth Proportional to 3,754.86, 5,632.32 and 981.75

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Solution

The fourth proportional to 3,754.86, 5,632.32 and 981.75 is: 1,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.86 : 5,632.32 = 981.75 : x
  2. Step 2: Convert to fraction form
    3,754.86/5,632.32 = 981.75/x
  3. Step 3: Cross multiply
    3,754.86x = 5,632.32 × 981.75
  4. Step 4: Simplify right side
    3,754.86x = 5,529,530.16
  5. Step 5: Solve for x
    x = 5,529,530.16/3,754.86
  6. Step 6: Final answer
    x = 1,472.63

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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.