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Finding the Fourth Proportional to 4,264.65, 6,396.17 and 2,071.98

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Solution

The fourth proportional to 4,264.65, 6,396.17 and 2,071.98 is: 3,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.65 : 6,396.17 = 2,071.98 : x
  2. Step 2: Convert to fraction form
    4,264.65/6,396.17 = 2,071.98/x
  3. Step 3: Cross multiply
    4,264.65x = 6,396.17 × 2,071.98
  4. Step 4: Simplify right side
    4,264.65x = 13,252,725.96
  5. Step 5: Solve for x
    x = 13,252,725.96/4,264.65
  6. Step 6: Final answer
    x = 3,107.58

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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.