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Finding the Fourth Proportional to 3,419.26, 5,131.32 and 1,572.46

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Solution

The fourth proportional to 3,419.26, 5,131.32 and 1,572.46 is: 2,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.26 : 5,131.32 = 1,572.46 : x
  2. Step 2: Convert to fraction form
    3,419.26/5,131.32 = 1,572.46/x
  3. Step 3: Cross multiply
    3,419.26x = 5,131.32 × 1,572.46
  4. Step 4: Simplify right side
    3,419.26x = 8,068,795.45
  5. Step 5: Solve for x
    x = 8,068,795.45/3,419.26
  6. Step 6: Final answer
    x = 2,359.81

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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.