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Finding the Fourth Proportional to 4,082.57, 5,632.55 and 2,823.15

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Solution

The fourth proportional to 4,082.57, 5,632.55 and 2,823.15 is: 3,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.57 : 5,632.55 = 2,823.15 : x
  2. Step 2: Convert to fraction form
    4,082.57/5,632.55 = 2,823.15/x
  3. Step 3: Cross multiply
    4,082.57x = 5,632.55 × 2,823.15
  4. Step 4: Simplify right side
    4,082.57x = 15,901,533.53
  5. Step 5: Solve for x
    x = 15,901,533.53/4,082.57
  6. Step 6: Final answer
    x = 3,894.99

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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.