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Finding the Fourth Proportional to 4,712.28, 6,500.42 and 2,823.32

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Solution

The fourth proportional to 4,712.28, 6,500.42 and 2,823.32 is: 3,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.28 : 6,500.42 = 2,823.32 : x
  2. Step 2: Convert to fraction form
    4,712.28/6,500.42 = 2,823.32/x
  3. Step 3: Cross multiply
    4,712.28x = 6,500.42 × 2,823.32
  4. Step 4: Simplify right side
    4,712.28x = 18,352,765.79
  5. Step 5: Solve for x
    x = 18,352,765.79/4,712.28
  6. Step 6: Final answer
    x = 3,894.67

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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.