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Finding the Fourth Proportional to 3,123.48, 4,662.39 and 2,895

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Solution

The fourth proportional to 3,123.48, 4,662.39 and 2,895 is: 4,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.48 : 4,662.39 = 2,895 : x
  2. Step 2: Convert to fraction form
    3,123.48/4,662.39 = 2,895/x
  3. Step 3: Cross multiply
    3,123.48x = 4,662.39 × 2,895
  4. Step 4: Simplify right side
    3,123.48x = 13,497,619.05
  5. Step 5: Solve for x
    x = 13,497,619.05/3,123.48
  6. Step 6: Final answer
    x = 4,321.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.