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Finding the Fourth Proportional to 5,021.47, 7,529.78 and 1,733.41

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Solution

The fourth proportional to 5,021.47, 7,529.78 and 1,733.41 is: 2,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.47 : 7,529.78 = 1,733.41 : x
  2. Step 2: Convert to fraction form
    5,021.47/7,529.78 = 1,733.41/x
  3. Step 3: Cross multiply
    5,021.47x = 7,529.78 × 1,733.41
  4. Step 4: Simplify right side
    5,021.47x = 13,052,187.28
  5. Step 5: Solve for x
    x = 13,052,187.28/5,021.47
  6. Step 6: Final answer
    x = 2,599.28

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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.