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Finding the Fourth Proportional to 3,224.56, 4,836.48 and 915.88

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Solution

The fourth proportional to 3,224.56, 4,836.48 and 915.88 is: 1,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.56 : 4,836.48 = 915.88 : x
  2. Step 2: Convert to fraction form
    3,224.56/4,836.48 = 915.88/x
  3. Step 3: Cross multiply
    3,224.56x = 4,836.48 × 915.88
  4. Step 4: Simplify right side
    3,224.56x = 4,429,635.30
  5. Step 5: Solve for x
    x = 4,429,635.30/3,224.56
  6. Step 6: Final answer
    x = 1,373.72

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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.