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Finding the Fourth Proportional to 5,137.34, 7,706.95 and 1,628.23

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Solution

The fourth proportional to 5,137.34, 7,706.95 and 1,628.23 is: 2,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.34 : 7,706.95 = 1,628.23 : x
  2. Step 2: Convert to fraction form
    5,137.34/7,706.95 = 1,628.23/x
  3. Step 3: Cross multiply
    5,137.34x = 7,706.95 × 1,628.23
  4. Step 4: Simplify right side
    5,137.34x = 12,548,687.20
  5. Step 5: Solve for x
    x = 12,548,687.20/5,137.34
  6. Step 6: Final answer
    x = 2,442.64

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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.