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Finding the Fourth Proportional to 3,410.63, 4,706.25 and 2,151.21

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Solution

The fourth proportional to 3,410.63, 4,706.25 and 2,151.21 is: 2,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.63 : 4,706.25 = 2,151.21 : x
  2. Step 2: Convert to fraction form
    3,410.63/4,706.25 = 2,151.21/x
  3. Step 3: Cross multiply
    3,410.63x = 4,706.25 × 2,151.21
  4. Step 4: Simplify right side
    3,410.63x = 10,124,149.71
  5. Step 5: Solve for x
    x = 10,124,149.71/3,410.63
  6. Step 6: Final answer
    x = 2,968.41

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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.