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Finding the Fourth Proportional to 4,137.90, 6,207.75 and 1,364.46

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Solution

The fourth proportional to 4,137.90, 6,207.75 and 1,364.46 is: 2,046.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.90 : 6,207.75 = 1,364.46 : x
  2. Step 2: Convert to fraction form
    4,137.90/6,207.75 = 1,364.46/x
  3. Step 3: Cross multiply
    4,137.90x = 6,207.75 × 1,364.46
  4. Step 4: Simplify right side
    4,137.90x = 8,470,226.57
  5. Step 5: Solve for x
    x = 8,470,226.57/4,137.90
  6. Step 6: Final answer
    x = 2,046.99

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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.