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Finding the Fourth Proportional to 3,915.74, 5,871.68 and 1,939.09

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Solution

The fourth proportional to 3,915.74, 5,871.68 and 1,939.09 is: 2,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.74 : 5,871.68 = 1,939.09 : x
  2. Step 2: Convert to fraction form
    3,915.74/5,871.68 = 1,939.09/x
  3. Step 3: Cross multiply
    3,915.74x = 5,871.68 × 1,939.09
  4. Step 4: Simplify right side
    3,915.74x = 11,385,686.61
  5. Step 5: Solve for x
    x = 11,385,686.61/3,915.74
  6. Step 6: Final answer
    x = 2,907.67

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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.