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Finding the Fourth Proportional to 4,706.22, 6,493.73 and 2,716.05

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Solution

The fourth proportional to 4,706.22, 6,493.73 and 2,716.05 is: 3,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.22 : 6,493.73 = 2,716.05 : x
  2. Step 2: Convert to fraction form
    4,706.22/6,493.73 = 2,716.05/x
  3. Step 3: Cross multiply
    4,706.22x = 6,493.73 × 2,716.05
  4. Step 4: Simplify right side
    4,706.22x = 17,637,281.79
  5. Step 5: Solve for x
    x = 17,637,281.79/4,706.22
  6. Step 6: Final answer
    x = 3,747.65

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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.