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Finding the Fourth Proportional to 3,615.95, 5,419.06 and 1,424.09

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Solution

The fourth proportional to 3,615.95, 5,419.06 and 1,424.09 is: 2,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.95 : 5,419.06 = 1,424.09 : x
  2. Step 2: Convert to fraction form
    3,615.95/5,419.06 = 1,424.09/x
  3. Step 3: Cross multiply
    3,615.95x = 5,419.06 × 1,424.09
  4. Step 4: Simplify right side
    3,615.95x = 7,717,198.50
  5. Step 5: Solve for x
    x = 7,717,198.50/3,615.95
  6. Step 6: Final answer
    x = 2,134.21

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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.