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Finding the Fourth Proportional to 3,408.71, 4,706.36 and 2,610.63

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Solution

The fourth proportional to 3,408.71, 4,706.36 and 2,610.63 is: 3,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.71 : 4,706.36 = 2,610.63 : x
  2. Step 2: Convert to fraction form
    3,408.71/4,706.36 = 2,610.63/x
  3. Step 3: Cross multiply
    3,408.71x = 4,706.36 × 2,610.63
  4. Step 4: Simplify right side
    3,408.71x = 12,286,551.55
  5. Step 5: Solve for x
    x = 12,286,551.55/3,408.71
  6. Step 6: Final answer
    x = 3,604.46

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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.