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Finding the Fourth Proportional to 4,921.64, 7,385.78 and 2,000.04

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Solution

The fourth proportional to 4,921.64, 7,385.78 and 2,000.04 is: 3,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.64 : 7,385.78 = 2,000.04 : x
  2. Step 2: Convert to fraction form
    4,921.64/7,385.78 = 2,000.04/x
  3. Step 3: Cross multiply
    4,921.64x = 7,385.78 × 2,000.04
  4. Step 4: Simplify right side
    4,921.64x = 14,771,855.43
  5. Step 5: Solve for x
    x = 14,771,855.43/4,921.64
  6. Step 6: Final answer
    x = 3,001.41

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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.