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Finding the Fourth Proportional to 3,523.73, 5,288.16 and 2,838.67

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Solution

The fourth proportional to 3,523.73, 5,288.16 and 2,838.67 is: 4,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.73 : 5,288.16 = 2,838.67 : x
  2. Step 2: Convert to fraction form
    3,523.73/5,288.16 = 2,838.67/x
  3. Step 3: Cross multiply
    3,523.73x = 5,288.16 × 2,838.67
  4. Step 4: Simplify right side
    3,523.73x = 15,011,341.15
  5. Step 5: Solve for x
    x = 15,011,341.15/3,523.73
  6. Step 6: Final answer
    x = 4,260.07

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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.