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Finding the Fourth Proportional to 5,047.77, 7,571.19 and 1,349.87

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Solution

The fourth proportional to 5,047.77, 7,571.19 and 1,349.87 is: 2,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.77 : 7,571.19 = 1,349.87 : x
  2. Step 2: Convert to fraction form
    5,047.77/7,571.19 = 1,349.87/x
  3. Step 3: Cross multiply
    5,047.77x = 7,571.19 × 1,349.87
  4. Step 4: Simplify right side
    5,047.77x = 10,220,122.25
  5. Step 5: Solve for x
    x = 10,220,122.25/5,047.77
  6. Step 6: Final answer
    x = 2,024.68

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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.