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Finding the Fourth Proportional to 4,468.96, 6,704.05 and 1,546.89

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Solution

The fourth proportional to 4,468.96, 6,704.05 and 1,546.89 is: 2,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.96 : 6,704.05 = 1,546.89 : x
  2. Step 2: Convert to fraction form
    4,468.96/6,704.05 = 1,546.89/x
  3. Step 3: Cross multiply
    4,468.96x = 6,704.05 × 1,546.89
  4. Step 4: Simplify right side
    4,468.96x = 10,370,427.90
  5. Step 5: Solve for x
    x = 10,370,427.90/4,468.96
  6. Step 6: Final answer
    x = 2,320.55

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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.