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Finding the Fourth Proportional to 4,793.36, 7,180.32 and 2,480

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Solution

The fourth proportional to 4,793.36, 7,180.32 and 2,480 is: 3,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.36 : 7,180.32 = 2,480 : x
  2. Step 2: Convert to fraction form
    4,793.36/7,180.32 = 2,480/x
  3. Step 3: Cross multiply
    4,793.36x = 7,180.32 × 2,480
  4. Step 4: Simplify right side
    4,793.36x = 17,807,193.60
  5. Step 5: Solve for x
    x = 17,807,193.60/4,793.36
  6. Step 6: Final answer
    x = 3,714.97

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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.