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Finding the Fourth Proportional to 3,406.54, 5,108.73 and 1,097.50

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Solution

The fourth proportional to 3,406.54, 5,108.73 and 1,097.50 is: 1,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.54 : 5,108.73 = 1,097.50 : x
  2. Step 2: Convert to fraction form
    3,406.54/5,108.73 = 1,097.50/x
  3. Step 3: Cross multiply
    3,406.54x = 5,108.73 × 1,097.50
  4. Step 4: Simplify right side
    3,406.54x = 5,606,831.18
  5. Step 5: Solve for x
    x = 5,606,831.18/3,406.54
  6. Step 6: Final answer
    x = 1,645.90

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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.