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Finding the Fourth Proportional to 3,342.82, 5,014.72 and 1,034.50

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Solution

The fourth proportional to 3,342.82, 5,014.72 and 1,034.50 is: 1,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.82 : 5,014.72 = 1,034.50 : x
  2. Step 2: Convert to fraction form
    3,342.82/5,014.72 = 1,034.50/x
  3. Step 3: Cross multiply
    3,342.82x = 5,014.72 × 1,034.50
  4. Step 4: Simplify right side
    3,342.82x = 5,187,727.84
  5. Step 5: Solve for x
    x = 5,187,727.84/3,342.82
  6. Step 6: Final answer
    x = 1,551.90

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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.