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Finding the Fourth Proportional to 5,168.10, 7,752.24 and 1,470.43

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Solution

The fourth proportional to 5,168.10, 7,752.24 and 1,470.43 is: 2,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.10 : 7,752.24 = 1,470.43 : x
  2. Step 2: Convert to fraction form
    5,168.10/7,752.24 = 1,470.43/x
  3. Step 3: Cross multiply
    5,168.10x = 7,752.24 × 1,470.43
  4. Step 4: Simplify right side
    5,168.10x = 11,399,141.47
  5. Step 5: Solve for x
    x = 11,399,141.47/5,168.10
  6. Step 6: Final answer
    x = 2,205.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.