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Finding the Fourth Proportional to 5,044.41, 7,567.16 and 1,534.41

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Solution

The fourth proportional to 5,044.41, 7,567.16 and 1,534.41 is: 2,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.41 : 7,567.16 = 1,534.41 : x
  2. Step 2: Convert to fraction form
    5,044.41/7,567.16 = 1,534.41/x
  3. Step 3: Cross multiply
    5,044.41x = 7,567.16 × 1,534.41
  4. Step 4: Simplify right side
    5,044.41x = 11,611,125.98
  5. Step 5: Solve for x
    x = 11,611,125.98/5,044.41
  6. Step 6: Final answer
    x = 2,301.78

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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.