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Finding the Fourth Proportional to 5,164.74, 7,747.62 and 1,653.86

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Solution

The fourth proportional to 5,164.74, 7,747.62 and 1,653.86 is: 2,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.74 : 7,747.62 = 1,653.86 : x
  2. Step 2: Convert to fraction form
    5,164.74/7,747.62 = 1,653.86/x
  3. Step 3: Cross multiply
    5,164.74x = 7,747.62 × 1,653.86
  4. Step 4: Simplify right side
    5,164.74x = 12,813,498.18
  5. Step 5: Solve for x
    x = 12,813,498.18/5,164.74
  6. Step 6: Final answer
    x = 2,480.96

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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.