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Finding the Fourth Proportional to 4,902.24, 7,350.72 and 1,781.04

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Solution

The fourth proportional to 4,902.24, 7,350.72 and 1,781.04 is: 2,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.24 : 7,350.72 = 1,781.04 : x
  2. Step 2: Convert to fraction form
    4,902.24/7,350.72 = 1,781.04/x
  3. Step 3: Cross multiply
    4,902.24x = 7,350.72 × 1,781.04
  4. Step 4: Simplify right side
    4,902.24x = 13,091,926.35
  5. Step 5: Solve for x
    x = 13,091,926.35/4,902.24
  6. Step 6: Final answer
    x = 2,670.60

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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.