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Finding the Fourth Proportional to 3,729.91, 5,617.06 and 3,248.77

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Solution

The fourth proportional to 3,729.91, 5,617.06 and 3,248.77 is: 4,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.91 : 5,617.06 = 3,248.77 : x
  2. Step 2: Convert to fraction form
    3,729.91/5,617.06 = 3,248.77/x
  3. Step 3: Cross multiply
    3,729.91x = 5,617.06 × 3,248.77
  4. Step 4: Simplify right side
    3,729.91x = 18,248,536.02
  5. Step 5: Solve for x
    x = 18,248,536.02/3,729.91
  6. Step 6: Final answer
    x = 4,892.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.