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Finding the Fourth Proportional to 5,164.62, 7,747.44 and 1,653.74

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Solution

The fourth proportional to 5,164.62, 7,747.44 and 1,653.74 is: 2,480.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.62 : 7,747.44 = 1,653.74 : x
  2. Step 2: Convert to fraction form
    5,164.62/7,747.44 = 1,653.74/x
  3. Step 3: Cross multiply
    5,164.62x = 7,747.44 × 1,653.74
  4. Step 4: Simplify right side
    5,164.62x = 12,812,251.43
  5. Step 5: Solve for x
    x = 12,812,251.43/5,164.62
  6. Step 6: Final answer
    x = 2,480.77

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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.