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Finding the Fourth Proportional to 4,480.62, 6,720.93 and 1,706.64

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Solution

The fourth proportional to 4,480.62, 6,720.93 and 1,706.64 is: 2,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480.62 : 6,720.93 = 1,706.64 : x
  2. Step 2: Convert to fraction form
    4,480.62/6,720.93 = 1,706.64/x
  3. Step 3: Cross multiply
    4,480.62x = 6,720.93 × 1,706.64
  4. Step 4: Simplify right side
    4,480.62x = 11,470,207.98
  5. Step 5: Solve for x
    x = 11,470,207.98/4,480.62
  6. Step 6: Final answer
    x = 2,559.96

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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.