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Finding the Fourth Proportional to 4,920.53, 7,383.87 and 1,998.86

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Solution

The fourth proportional to 4,920.53, 7,383.87 and 1,998.86 is: 2,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.53 : 7,383.87 = 1,998.86 : x
  2. Step 2: Convert to fraction form
    4,920.53/7,383.87 = 1,998.86/x
  3. Step 3: Cross multiply
    4,920.53x = 7,383.87 × 1,998.86
  4. Step 4: Simplify right side
    4,920.53x = 14,759,285.47
  5. Step 5: Solve for x
    x = 14,759,285.47/4,920.53
  6. Step 6: Final answer
    x = 2,999.53

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1.5x scale

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.