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Finding the Fourth Proportional to 5,049.72, 7,573.50 and 1,538.96

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Solution

The fourth proportional to 5,049.72, 7,573.50 and 1,538.96 is: 2,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.72 : 7,573.50 = 1,538.96 : x
  2. Step 2: Convert to fraction form
    5,049.72/7,573.50 = 1,538.96/x
  3. Step 3: Cross multiply
    5,049.72x = 7,573.50 × 1,538.96
  4. Step 4: Simplify right side
    5,049.72x = 11,655,275.69
  5. Step 5: Solve for x
    x = 11,655,275.69/5,049.72
  6. Step 6: Final answer
    x = 2,308.10

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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.