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Finding the Fourth Proportional to 3,699.36, 5,106.92 and 2,712.38

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Solution

The fourth proportional to 3,699.36, 5,106.92 and 2,712.38 is: 3,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.36 : 5,106.92 = 2,712.38 : x
  2. Step 2: Convert to fraction form
    3,699.36/5,106.92 = 2,712.38/x
  3. Step 3: Cross multiply
    3,699.36x = 5,106.92 × 2,712.38
  4. Step 4: Simplify right side
    3,699.36x = 13,851,868.57
  5. Step 5: Solve for x
    x = 13,851,868.57/3,699.36
  6. Step 6: Final answer
    x = 3,744.40

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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.