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Finding the Fourth Proportional to 5,137.20, 7,706.88 and 1,674

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Solution

The fourth proportional to 5,137.20, 7,706.88 and 1,674 is: 2,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.20 : 7,706.88 = 1,674 : x
  2. Step 2: Convert to fraction form
    5,137.20/7,706.88 = 1,674/x
  3. Step 3: Cross multiply
    5,137.20x = 7,706.88 × 1,674
  4. Step 4: Simplify right side
    5,137.20x = 12,901,317.12
  5. Step 5: Solve for x
    x = 12,901,317.12/5,137.20
  6. Step 6: Final answer
    x = 2,511.35

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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.