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Finding the Fourth Proportional to 5,168.70, 7,130.61 and 3,178.62

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Solution

The fourth proportional to 5,168.70, 7,130.61 and 3,178.62 is: 4,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.70 : 7,130.61 = 3,178.62 : x
  2. Step 2: Convert to fraction form
    5,168.70/7,130.61 = 3,178.62/x
  3. Step 3: Cross multiply
    5,168.70x = 7,130.61 × 3,178.62
  4. Step 4: Simplify right side
    5,168.70x = 22,665,499.56
  5. Step 5: Solve for x
    x = 22,665,499.56/5,168.70
  6. Step 6: Final answer
    x = 4,385.15

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