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Finding the Fourth Proportional to 5,599.89, 7,727.88 and 3,082.15

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Solution

The fourth proportional to 5,599.89, 7,727.88 and 3,082.15 is: 4,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.89 : 7,727.88 = 3,082.15 : x
  2. Step 2: Convert to fraction form
    5,599.89/7,727.88 = 3,082.15/x
  3. Step 3: Cross multiply
    5,599.89x = 7,727.88 × 3,082.15
  4. Step 4: Simplify right side
    5,599.89x = 23,818,485.34
  5. Step 5: Solve for x
    x = 23,818,485.34/5,599.89
  6. Step 6: Final answer
    x = 4,253.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.