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Finding the Fourth Proportional to 3,647.90, 5,435.12 and 3,409.20

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Solution

The fourth proportional to 3,647.90, 5,435.12 and 3,409.20 is: 5,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.90 : 5,435.12 = 3,409.20 : x
  2. Step 2: Convert to fraction form
    3,647.90/5,435.12 = 3,409.20/x
  3. Step 3: Cross multiply
    3,647.90x = 5,435.12 × 3,409.20
  4. Step 4: Simplify right side
    3,647.90x = 18,529,394.06
  5. Step 5: Solve for x
    x = 18,529,394.06/3,647.90
  6. Step 6: Final answer
    x = 5,079.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.