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Finding the Fourth Proportional to 3,354.62, 5,032.49 and 1,133.66

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Solution

The fourth proportional to 3,354.62, 5,032.49 and 1,133.66 is: 1,700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.62 : 5,032.49 = 1,133.66 : x
  2. Step 2: Convert to fraction form
    3,354.62/5,032.49 = 1,133.66/x
  3. Step 3: Cross multiply
    3,354.62x = 5,032.49 × 1,133.66
  4. Step 4: Simplify right side
    3,354.62x = 5,705,139.53
  5. Step 5: Solve for x
    x = 5,705,139.53/3,354.62
  6. Step 6: Final answer
    x = 1,700.68

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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.