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Finding the Fourth Proportional to 3,938.01, 5,435.13 and 2,678.22

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Solution

The fourth proportional to 3,938.01, 5,435.13 and 2,678.22 is: 3,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.01 : 5,435.13 = 2,678.22 : x
  2. Step 2: Convert to fraction form
    3,938.01/5,435.13 = 2,678.22/x
  3. Step 3: Cross multiply
    3,938.01x = 5,435.13 × 2,678.22
  4. Step 4: Simplify right side
    3,938.01x = 14,556,473.87
  5. Step 5: Solve for x
    x = 14,556,473.87/3,938.01
  6. Step 6: Final answer
    x = 3,696.40

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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.