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Finding the Fourth Proportional to 3,415.49, 5,122.73 and 950.06

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Solution

The fourth proportional to 3,415.49, 5,122.73 and 950.06 is: 1,424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.49 : 5,122.73 = 950.06 : x
  2. Step 2: Convert to fraction form
    3,415.49/5,122.73 = 950.06/x
  3. Step 3: Cross multiply
    3,415.49x = 5,122.73 × 950.06
  4. Step 4: Simplify right side
    3,415.49x = 4,866,870.50
  5. Step 5: Solve for x
    x = 4,866,870.50/3,415.49
  6. Step 6: Final answer
    x = 1,424.94

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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.