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Finding the Fourth Proportional to 3,754.64, 5,620.16 and 2,577.76

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Solution

The fourth proportional to 3,754.64, 5,620.16 and 2,577.76 is: 3,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.64 : 5,620.16 = 2,577.76 : x
  2. Step 2: Convert to fraction form
    3,754.64/5,620.16 = 2,577.76/x
  3. Step 3: Cross multiply
    3,754.64x = 5,620.16 × 2,577.76
  4. Step 4: Simplify right side
    3,754.64x = 14,487,423.64
  5. Step 5: Solve for x
    x = 14,487,423.64/3,754.64
  6. Step 6: Final answer
    x = 3,858.54

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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.