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Finding the Fourth Proportional to 3,627.95, 5,440.78 and 1,406.62

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Solution

The fourth proportional to 3,627.95, 5,440.78 and 1,406.62 is: 2,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.95 : 5,440.78 = 1,406.62 : x
  2. Step 2: Convert to fraction form
    3,627.95/5,440.78 = 1,406.62/x
  3. Step 3: Cross multiply
    3,627.95x = 5,440.78 × 1,406.62
  4. Step 4: Simplify right side
    3,627.95x = 7,653,110.61
  5. Step 5: Solve for x
    x = 7,653,110.61/3,627.95
  6. Step 6: Final answer
    x = 2,109.49

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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.