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Finding the Fourth Proportional to 5,011.65, 6,914.34 and 3,121.94

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Solution

The fourth proportional to 5,011.65, 6,914.34 and 3,121.94 is: 4,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011.65 : 6,914.34 = 3,121.94 : x
  2. Step 2: Convert to fraction form
    5,011.65/6,914.34 = 3,121.94/x
  3. Step 3: Cross multiply
    5,011.65x = 6,914.34 × 3,121.94
  4. Step 4: Simplify right side
    5,011.65x = 21,586,163.12
  5. Step 5: Solve for x
    x = 21,586,163.12/5,011.65
  6. Step 6: Final answer
    x = 4,307.20

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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.