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Finding the Fourth Proportional to 3,381.21, 5,072.04 and 915.84

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Solution

The fourth proportional to 3,381.21, 5,072.04 and 915.84 is: 1,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.21 : 5,072.04 = 915.84 : x
  2. Step 2: Convert to fraction form
    3,381.21/5,072.04 = 915.84/x
  3. Step 3: Cross multiply
    3,381.21x = 5,072.04 × 915.84
  4. Step 4: Simplify right side
    3,381.21x = 4,645,177.11
  5. Step 5: Solve for x
    x = 4,645,177.11/3,381.21
  6. Step 6: Final answer
    x = 1,373.82

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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.