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Finding the Fourth Proportional to 5,825.49, 8,738.03 and 1,929.87

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Solution

The fourth proportional to 5,825.49, 8,738.03 and 1,929.87 is: 2,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.49 : 8,738.03 = 1,929.87 : x
  2. Step 2: Convert to fraction form
    5,825.49/8,738.03 = 1,929.87/x
  3. Step 3: Cross multiply
    5,825.49x = 8,738.03 × 1,929.87
  4. Step 4: Simplify right side
    5,825.49x = 16,863,261.96
  5. Step 5: Solve for x
    x = 16,863,261.96/5,825.49
  6. Step 6: Final answer
    x = 2,894.74

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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.