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Finding the Fourth Proportional to 4,674.65, 7,012.13 and 1,211.90

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Solution

The fourth proportional to 4,674.65, 7,012.13 and 1,211.90 is: 1,817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.65 : 7,012.13 = 1,211.90 : x
  2. Step 2: Convert to fraction form
    4,674.65/7,012.13 = 1,211.90/x
  3. Step 3: Cross multiply
    4,674.65x = 7,012.13 × 1,211.90
  4. Step 4: Simplify right side
    4,674.65x = 8,497,959.23
  5. Step 5: Solve for x
    x = 8,497,959.23/4,674.65
  6. Step 6: Final answer
    x = 1,817.88

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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.