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Finding the Fourth Proportional to 4,922.54, 7,383.80 and 2,000.16

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Solution

The fourth proportional to 4,922.54, 7,383.80 and 2,000.16 is: 3,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.54 : 7,383.80 = 2,000.16 : x
  2. Step 2: Convert to fraction form
    4,922.54/7,383.80 = 2,000.16/x
  3. Step 3: Cross multiply
    4,922.54x = 7,383.80 × 2,000.16
  4. Step 4: Simplify right side
    4,922.54x = 14,768,781.41
  5. Step 5: Solve for x
    x = 14,768,781.41/4,922.54
  6. Step 6: Final answer
    x = 3,000.24

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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.