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Finding the Fourth Proportional to 3,615.75, 5,423.90 and 2,055.15

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Solution

The fourth proportional to 3,615.75, 5,423.90 and 2,055.15 is: 3,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.75 : 5,423.90 = 2,055.15 : x
  2. Step 2: Convert to fraction form
    3,615.75/5,423.90 = 2,055.15/x
  3. Step 3: Cross multiply
    3,615.75x = 5,423.90 × 2,055.15
  4. Step 4: Simplify right side
    3,615.75x = 11,146,917.81
  5. Step 5: Solve for x
    x = 11,146,917.81/3,615.75
  6. Step 6: Final answer
    x = 3,082.88

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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.