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Finding the Fourth Proportional to 5,199.78, 7,792.36 and 3,464.76

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Solution

The fourth proportional to 5,199.78, 7,792.36 and 3,464.76 is: 5,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.78 : 7,792.36 = 3,464.76 : x
  2. Step 2: Convert to fraction form
    5,199.78/7,792.36 = 3,464.76/x
  3. Step 3: Cross multiply
    5,199.78x = 7,792.36 × 3,464.76
  4. Step 4: Simplify right side
    5,199.78x = 26,998,657.23
  5. Step 5: Solve for x
    x = 26,998,657.23/5,199.78
  6. Step 6: Final answer
    x = 5,192.27

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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.