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Finding the Fourth Proportional to 4,794, 7,177.92 and 2,480.64

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Solution

The fourth proportional to 4,794, 7,177.92 and 2,480.64 is: 3,714.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794 : 7,177.92 = 2,480.64 : x
  2. Step 2: Convert to fraction form
    4,794/7,177.92 = 2,480.64/x
  3. Step 3: Cross multiply
    4,794x = 7,177.92 × 2,480.64
  4. Step 4: Simplify right side
    4,794x = 17,805,835.47
  5. Step 5: Solve for x
    x = 17,805,835.47/4,794
  6. Step 6: Final answer
    x = 3,714.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.