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Finding the Fourth Proportional to 5,047.54, 7,571.69 and 1,349.69

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Solution

The fourth proportional to 5,047.54, 7,571.69 and 1,349.69 is: 2,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.54 : 7,571.69 = 1,349.69 : x
  2. Step 2: Convert to fraction form
    5,047.54/7,571.69 = 1,349.69/x
  3. Step 3: Cross multiply
    5,047.54x = 7,571.69 × 1,349.69
  4. Step 4: Simplify right side
    5,047.54x = 10,219,389.67
  5. Step 5: Solve for x
    x = 10,219,389.67/5,047.54
  6. Step 6: Final answer
    x = 2,024.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.