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Finding the Fourth Proportional to 4,500.32, 6,750.96 and 1,902.96

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Solution

The fourth proportional to 4,500.32, 6,750.96 and 1,902.96 is: 2,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.32 : 6,750.96 = 1,902.96 : x
  2. Step 2: Convert to fraction form
    4,500.32/6,750.96 = 1,902.96/x
  3. Step 3: Cross multiply
    4,500.32x = 6,750.96 × 1,902.96
  4. Step 4: Simplify right side
    4,500.32x = 12,846,806.84
  5. Step 5: Solve for x
    x = 12,846,806.84/4,500.32
  6. Step 6: Final answer
    x = 2,854.64

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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.