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Finding the Fourth Proportional to 3,925.60, 5,855.33 and 3,653.44

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Solution

The fourth proportional to 3,925.60, 5,855.33 and 3,653.44 is: 5,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.60 : 5,855.33 = 3,653.44 : x
  2. Step 2: Convert to fraction form
    3,925.60/5,855.33 = 3,653.44/x
  3. Step 3: Cross multiply
    3,925.60x = 5,855.33 × 3,653.44
  4. Step 4: Simplify right side
    3,925.60x = 21,392,096.84
  5. Step 5: Solve for x
    x = 21,392,096.84/3,925.60
  6. Step 6: Final answer
    x = 5,449.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.