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Finding the Fourth Proportional to 3,716.74, 5,128.88 and 2,123.56

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Solution

The fourth proportional to 3,716.74, 5,128.88 and 2,123.56 is: 2,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.74 : 5,128.88 = 2,123.56 : x
  2. Step 2: Convert to fraction form
    3,716.74/5,128.88 = 2,123.56/x
  3. Step 3: Cross multiply
    3,716.74x = 5,128.88 × 2,123.56
  4. Step 4: Simplify right side
    3,716.74x = 10,891,484.41
  5. Step 5: Solve for x
    x = 10,891,484.41/3,716.74
  6. Step 6: Final answer
    x = 2,930.39

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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.