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Finding the Fourth Proportional to 5,264.54, 7,890.51 and 2,449.57

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Solution

The fourth proportional to 5,264.54, 7,890.51 and 2,449.57 is: 3,671.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.54 : 7,890.51 = 2,449.57 : x
  2. Step 2: Convert to fraction form
    5,264.54/7,890.51 = 2,449.57/x
  3. Step 3: Cross multiply
    5,264.54x = 7,890.51 × 2,449.57
  4. Step 4: Simplify right side
    5,264.54x = 19,328,336.85
  5. Step 5: Solve for x
    x = 19,328,336.85/5,264.54
  6. Step 6: Final answer
    x = 3,671.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.