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Finding the Fourth Proportional to 3,463.76, 4,782.28 and 2,139.41

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Solution

The fourth proportional to 3,463.76, 4,782.28 and 2,139.41 is: 2,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.76 : 4,782.28 = 2,139.41 : x
  2. Step 2: Convert to fraction form
    3,463.76/4,782.28 = 2,139.41/x
  3. Step 3: Cross multiply
    3,463.76x = 4,782.28 × 2,139.41
  4. Step 4: Simplify right side
    3,463.76x = 10,231,257.65
  5. Step 5: Solve for x
    x = 10,231,257.65/3,463.76
  6. Step 6: Final answer
    x = 2,953.80

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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.