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Finding the Fourth Proportional to 3,896.51, 5,847.04 and 2,510.65

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Solution

The fourth proportional to 3,896.51, 5,847.04 and 2,510.65 is: 3,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.51 : 5,847.04 = 2,510.65 : x
  2. Step 2: Convert to fraction form
    3,896.51/5,847.04 = 2,510.65/x
  3. Step 3: Cross multiply
    3,896.51x = 5,847.04 × 2,510.65
  4. Step 4: Simplify right side
    3,896.51x = 14,679,834.41
  5. Step 5: Solve for x
    x = 14,679,834.41/3,896.51
  6. Step 6: Final answer
    x = 3,767.44

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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.