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Finding the Fourth Proportional to 3,617.17, 5,425.14 and 1,019.50

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Solution

The fourth proportional to 3,617.17, 5,425.14 and 1,019.50 is: 1,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.17 : 5,425.14 = 1,019.50 : x
  2. Step 2: Convert to fraction form
    3,617.17/5,425.14 = 1,019.50/x
  3. Step 3: Cross multiply
    3,617.17x = 5,425.14 × 1,019.50
  4. Step 4: Simplify right side
    3,617.17x = 5,530,930.23
  5. Step 5: Solve for x
    x = 5,530,930.23/3,617.17
  6. Step 6: Final answer
    x = 1,529.08

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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.