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Finding the Fourth Proportional to 4,902.01, 7,350.72 and 1,781.62

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Solution

The fourth proportional to 4,902.01, 7,350.72 and 1,781.62 is: 2,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.01 : 7,350.72 = 1,781.62 : x
  2. Step 2: Convert to fraction form
    4,902.01/7,350.72 = 1,781.62/x
  3. Step 3: Cross multiply
    4,902.01x = 7,350.72 × 1,781.62
  4. Step 4: Simplify right side
    4,902.01x = 13,096,189.77
  5. Step 5: Solve for x
    x = 13,096,189.77/4,902.01
  6. Step 6: Final answer
    x = 2,671.60

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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.