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Finding the Fourth Proportional to 4,546.56, 6,274.56 and 2,557.28

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Solution

The fourth proportional to 4,546.56, 6,274.56 and 2,557.28 is: 3,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.56 : 6,274.56 = 2,557.28 : x
  2. Step 2: Convert to fraction form
    4,546.56/6,274.56 = 2,557.28/x
  3. Step 3: Cross multiply
    4,546.56x = 6,274.56 × 2,557.28
  4. Step 4: Simplify right side
    4,546.56x = 16,045,806.80
  5. Step 5: Solve for x
    x = 16,045,806.80/4,546.56
  6. Step 6: Final answer
    x = 3,529.22

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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.