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Finding the Fourth Proportional to 5,168.24, 7,752.66 and 1,881.68

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Solution

The fourth proportional to 5,168.24, 7,752.66 and 1,881.68 is: 2,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.24 : 7,752.66 = 1,881.68 : x
  2. Step 2: Convert to fraction form
    5,168.24/7,752.66 = 1,881.68/x
  3. Step 3: Cross multiply
    5,168.24x = 7,752.66 × 1,881.68
  4. Step 4: Simplify right side
    5,168.24x = 14,588,025.27
  5. Step 5: Solve for x
    x = 14,588,025.27/5,168.24
  6. Step 6: Final answer
    x = 2,822.63

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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.