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Finding the Fourth Proportional to 3,784.68, 5,222.52 and 2,128.68

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Solution

The fourth proportional to 3,784.68, 5,222.52 and 2,128.68 is: 2,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.68 : 5,222.52 = 2,128.68 : x
  2. Step 2: Convert to fraction form
    3,784.68/5,222.52 = 2,128.68/x
  3. Step 3: Cross multiply
    3,784.68x = 5,222.52 × 2,128.68
  4. Step 4: Simplify right side
    3,784.68x = 11,117,073.87
  5. Step 5: Solve for x
    x = 11,117,073.87/3,784.68
  6. Step 6: Final answer
    x = 2,937.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.