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Finding the Fourth Proportional to 3,708.77, 5,563.11 and 935.38

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Solution

The fourth proportional to 3,708.77, 5,563.11 and 935.38 is: 1,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.77 : 5,563.11 = 935.38 : x
  2. Step 2: Convert to fraction form
    3,708.77/5,563.11 = 935.38/x
  3. Step 3: Cross multiply
    3,708.77x = 5,563.11 × 935.38
  4. Step 4: Simplify right side
    3,708.77x = 5,203,607.92
  5. Step 5: Solve for x
    x = 5,203,607.92/3,708.77
  6. Step 6: Final answer
    x = 1,403.06

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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.