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Finding the Fourth Proportional to 3,468.78, 4,785.42 and 2,123.33

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Solution

The fourth proportional to 3,468.78, 4,785.42 and 2,123.33 is: 2,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.78 : 4,785.42 = 2,123.33 : x
  2. Step 2: Convert to fraction form
    3,468.78/4,785.42 = 2,123.33/x
  3. Step 3: Cross multiply
    3,468.78x = 4,785.42 × 2,123.33
  4. Step 4: Simplify right side
    3,468.78x = 10,161,001.92
  5. Step 5: Solve for x
    x = 10,161,001.92/3,468.78
  6. Step 6: Final answer
    x = 2,929.27

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