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Finding the Fourth Proportional to 5,738.46, 8,607.15 and 2,040.54

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Solution

The fourth proportional to 5,738.46, 8,607.15 and 2,040.54 is: 3,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.46 : 8,607.15 = 2,040.54 : x
  2. Step 2: Convert to fraction form
    5,738.46/8,607.15 = 2,040.54/x
  3. Step 3: Cross multiply
    5,738.46x = 8,607.15 × 2,040.54
  4. Step 4: Simplify right side
    5,738.46x = 17,563,233.86
  5. Step 5: Solve for x
    x = 17,563,233.86/5,738.46
  6. Step 6: Final answer
    x = 3,060.62

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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.