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Finding the Fourth Proportional to 3,354.75, 5,032.13 and 1,406.96

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Solution

The fourth proportional to 3,354.75, 5,032.13 and 1,406.96 is: 2,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.75 : 5,032.13 = 1,406.96 : x
  2. Step 2: Convert to fraction form
    3,354.75/5,032.13 = 1,406.96/x
  3. Step 3: Cross multiply
    3,354.75x = 5,032.13 × 1,406.96
  4. Step 4: Simplify right side
    3,354.75x = 7,080,005.62
  5. Step 5: Solve for x
    x = 7,080,005.62/3,354.75
  6. Step 6: Final answer
    x = 2,110.44

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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.