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Finding the Fourth Proportional to 5,168.70, 7,133.94 and 3,400.47

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Solution

The fourth proportional to 5,168.70, 7,133.94 and 3,400.47 is: 4,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.70 : 7,133.94 = 3,400.47 : x
  2. Step 2: Convert to fraction form
    5,168.70/7,133.94 = 3,400.47/x
  3. Step 3: Cross multiply
    5,168.70x = 7,133.94 × 3,400.47
  4. Step 4: Simplify right side
    5,168.70x = 24,258,748.95
  5. Step 5: Solve for x
    x = 24,258,748.95/5,168.70
  6. Step 6: Final answer
    x = 4,693.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.