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Finding the Fourth Proportional to 5,240.49, 7,858.31 and 3,049.85

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Solution

The fourth proportional to 5,240.49, 7,858.31 and 3,049.85 is: 4,573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.49 : 7,858.31 = 3,049.85 : x
  2. Step 2: Convert to fraction form
    5,240.49/7,858.31 = 3,049.85/x
  3. Step 3: Cross multiply
    5,240.49x = 7,858.31 × 3,049.85
  4. Step 4: Simplify right side
    5,240.49x = 23,966,612.21
  5. Step 5: Solve for x
    x = 23,966,612.21/5,240.49
  6. Step 6: Final answer
    x = 4,573.35

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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.