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Finding the Fourth Proportional to 3,540.79, 5,302.74 and 2,056.87

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Solution

The fourth proportional to 3,540.79, 5,302.74 and 2,056.87 is: 3,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.79 : 5,302.74 = 2,056.87 : x
  2. Step 2: Convert to fraction form
    3,540.79/5,302.74 = 2,056.87/x
  3. Step 3: Cross multiply
    3,540.79x = 5,302.74 × 2,056.87
  4. Step 4: Simplify right side
    3,540.79x = 10,907,046.82
  5. Step 5: Solve for x
    x = 10,907,046.82/3,540.79
  6. Step 6: Final answer
    x = 3,080.40

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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.