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Finding the Fourth Proportional to 4,706.04, 6,493.14 and 2,817.84

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Solution

The fourth proportional to 4,706.04, 6,493.14 and 2,817.84 is: 3,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.04 : 6,493.14 = 2,817.84 : x
  2. Step 2: Convert to fraction form
    4,706.04/6,493.14 = 2,817.84/x
  3. Step 3: Cross multiply
    4,706.04x = 6,493.14 × 2,817.84
  4. Step 4: Simplify right side
    4,706.04x = 18,296,629.62
  5. Step 5: Solve for x
    x = 18,296,629.62/4,706.04
  6. Step 6: Final answer
    x = 3,887.90

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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.