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Finding the Fourth Proportional to 4,546.52, 6,274.42 and 2,557.70

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Solution

The fourth proportional to 4,546.52, 6,274.42 and 2,557.70 is: 3,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.52 : 6,274.42 = 2,557.70 : x
  2. Step 2: Convert to fraction form
    4,546.52/6,274.42 = 2,557.70/x
  3. Step 3: Cross multiply
    4,546.52x = 6,274.42 × 2,557.70
  4. Step 4: Simplify right side
    4,546.52x = 16,048,084.03
  5. Step 5: Solve for x
    x = 16,048,084.03/4,546.52
  6. Step 6: Final answer
    x = 3,529.75

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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.