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Finding the Fourth Proportional to 3,410.09, 4,706.06 and 2,511.60

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Solution

The fourth proportional to 3,410.09, 4,706.06 and 2,511.60 is: 3,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.09 : 4,706.06 = 2,511.60 : x
  2. Step 2: Convert to fraction form
    3,410.09/4,706.06 = 2,511.60/x
  3. Step 3: Cross multiply
    3,410.09x = 4,706.06 × 2,511.60
  4. Step 4: Simplify right side
    3,410.09x = 11,819,740.30
  5. Step 5: Solve for x
    x = 11,819,740.30/3,410.09
  6. Step 6: Final answer
    x = 3,466.11

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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.