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Finding the Fourth Proportional to 4,218.48, 6,322.86 and 1,754.46

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Solution

The fourth proportional to 4,218.48, 6,322.86 and 1,754.46 is: 2,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.48 : 6,322.86 = 1,754.46 : x
  2. Step 2: Convert to fraction form
    4,218.48/6,322.86 = 1,754.46/x
  3. Step 3: Cross multiply
    4,218.48x = 6,322.86 × 1,754.46
  4. Step 4: Simplify right side
    4,218.48x = 11,093,204.96
  5. Step 5: Solve for x
    x = 11,093,204.96/4,218.48
  6. Step 6: Final answer
    x = 2,629.67

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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.