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Finding the Fourth Proportional to 4,313.97, 6,471.59 and 1,352.70

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Solution

The fourth proportional to 4,313.97, 6,471.59 and 1,352.70 is: 2,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.97 : 6,471.59 = 1,352.70 : x
  2. Step 2: Convert to fraction form
    4,313.97/6,471.59 = 1,352.70/x
  3. Step 3: Cross multiply
    4,313.97x = 6,471.59 × 1,352.70
  4. Step 4: Simplify right side
    4,313.97x = 8,754,113.03
  5. Step 5: Solve for x
    x = 8,754,113.03/4,313.97
  6. Step 6: Final answer
    x = 2,029.25

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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.