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Finding the Fourth Proportional to 3,407.54, 5,110.36 and 942.17

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Solution

The fourth proportional to 3,407.54, 5,110.36 and 942.17 is: 1,412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.54 : 5,110.36 = 942.17 : x
  2. Step 2: Convert to fraction form
    3,407.54/5,110.36 = 942.17/x
  3. Step 3: Cross multiply
    3,407.54x = 5,110.36 × 942.17
  4. Step 4: Simplify right side
    3,407.54x = 4,814,799.97
  5. Step 5: Solve for x
    x = 4,814,799.97/3,407.54
  6. Step 6: Final answer
    x = 1,412.99

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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.