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Finding the Fourth Proportional to 5,174.54, 7,761.02 and 1,887.64

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Solution

The fourth proportional to 5,174.54, 7,761.02 and 1,887.64 is: 2,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.54 : 7,761.02 = 1,887.64 : x
  2. Step 2: Convert to fraction form
    5,174.54/7,761.02 = 1,887.64/x
  3. Step 3: Cross multiply
    5,174.54x = 7,761.02 × 1,887.64
  4. Step 4: Simplify right side
    5,174.54x = 14,649,972.99
  5. Step 5: Solve for x
    x = 14,649,972.99/5,174.54
  6. Step 6: Final answer
    x = 2,831.16

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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.