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Finding the Fourth Proportional to 5,254.54, 7,880.90 and 1,744.61

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Solution

The fourth proportional to 5,254.54, 7,880.90 and 1,744.61 is: 2,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.54 : 7,880.90 = 1,744.61 : x
  2. Step 2: Convert to fraction form
    5,254.54/7,880.90 = 1,744.61/x
  3. Step 3: Cross multiply
    5,254.54x = 7,880.90 × 1,744.61
  4. Step 4: Simplify right side
    5,254.54x = 13,749,048.82
  5. Step 5: Solve for x
    x = 13,749,048.82/5,254.54
  6. Step 6: Final answer
    x = 2,616.60

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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.