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Finding the Fourth Proportional to 5,137.40, 7,686.90 and 3,409.40

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Solution

The fourth proportional to 5,137.40, 7,686.90 and 3,409.40 is: 5,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.40 : 7,686.90 = 3,409.40 : x
  2. Step 2: Convert to fraction form
    5,137.40/7,686.90 = 3,409.40/x
  3. Step 3: Cross multiply
    5,137.40x = 7,686.90 × 3,409.40
  4. Step 4: Simplify right side
    5,137.40x = 26,207,716.86
  5. Step 5: Solve for x
    x = 26,207,716.86/5,137.40
  6. Step 6: Final answer
    x = 5,101.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.