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Finding the Fourth Proportional to 5,701, 7,868.02 and 3,217.16

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Solution

The fourth proportional to 5,701, 7,868.02 and 3,217.16 is: 4,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701 : 7,868.02 = 3,217.16 : x
  2. Step 2: Convert to fraction form
    5,701/7,868.02 = 3,217.16/x
  3. Step 3: Cross multiply
    5,701x = 7,868.02 × 3,217.16
  4. Step 4: Simplify right side
    5,701x = 25,312,679.22
  5. Step 5: Solve for x
    x = 25,312,679.22/5,701
  6. Step 6: Final answer
    x = 4,440.04

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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.