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Finding the Fourth Proportional to 4,616.01, 6,367.75 and 3,123.38

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Solution

The fourth proportional to 4,616.01, 6,367.75 and 3,123.38 is: 4,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.01 : 6,367.75 = 3,123.38 : x
  2. Step 2: Convert to fraction form
    4,616.01/6,367.75 = 3,123.38/x
  3. Step 3: Cross multiply
    4,616.01x = 6,367.75 × 3,123.38
  4. Step 4: Simplify right side
    4,616.01x = 19,888,911.11
  5. Step 5: Solve for x
    x = 19,888,911.11/4,616.01
  6. Step 6: Final answer
    x = 4,308.68

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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.