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Finding the Fourth Proportional to 5,876.69, 8,120.54 and 4,280.56

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Solution

The fourth proportional to 5,876.69, 8,120.54 and 4,280.56 is: 5,914.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.69 : 8,120.54 = 4,280.56 : x
  2. Step 2: Convert to fraction form
    5,876.69/8,120.54 = 4,280.56/x
  3. Step 3: Cross multiply
    5,876.69x = 8,120.54 × 4,280.56
  4. Step 4: Simplify right side
    5,876.69x = 34,760,449.10
  5. Step 5: Solve for x
    x = 34,760,449.10/5,876.69
  6. Step 6: Final answer
    x = 5,914.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.