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Finding the Fourth Proportional to 5,219.49, 7,829.13 and 1,270.77

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Solution

The fourth proportional to 5,219.49, 7,829.13 and 1,270.77 is: 1,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.49 : 7,829.13 = 1,270.77 : x
  2. Step 2: Convert to fraction form
    5,219.49/7,829.13 = 1,270.77/x
  3. Step 3: Cross multiply
    5,219.49x = 7,829.13 × 1,270.77
  4. Step 4: Simplify right side
    5,219.49x = 9,949,023.53
  5. Step 5: Solve for x
    x = 9,949,023.53/5,219.49
  6. Step 6: Final answer
    x = 1,906.13

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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.