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Finding the Fourth Proportional to 3,442.30, 5,164.17 and 1,133.50

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Solution

The fourth proportional to 3,442.30, 5,164.17 and 1,133.50 is: 1,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.30 : 5,164.17 = 1,133.50 : x
  2. Step 2: Convert to fraction form
    3,442.30/5,164.17 = 1,133.50/x
  3. Step 3: Cross multiply
    3,442.30x = 5,164.17 × 1,133.50
  4. Step 4: Simplify right side
    3,442.30x = 5,853,586.70
  5. Step 5: Solve for x
    x = 5,853,586.70/3,442.30
  6. Step 6: Final answer
    x = 1,700.49

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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.