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Finding the Fourth Proportional to 3,381.13, 5,071.30 and 915.80

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Solution

The fourth proportional to 3,381.13, 5,071.30 and 915.80 is: 1,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.13 : 5,071.30 = 915.80 : x
  2. Step 2: Convert to fraction form
    3,381.13/5,071.30 = 915.80/x
  3. Step 3: Cross multiply
    3,381.13x = 5,071.30 × 915.80
  4. Step 4: Simplify right side
    3,381.13x = 4,644,296.54
  5. Step 5: Solve for x
    x = 4,644,296.54/3,381.13
  6. Step 6: Final answer
    x = 1,373.59

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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.