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Finding the Fourth Proportional to 4,137.45, 6,206.16 and 1,797.15

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Solution

The fourth proportional to 4,137.45, 6,206.16 and 1,797.15 is: 2,695.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.45 : 6,206.16 = 1,797.15 : x
  2. Step 2: Convert to fraction form
    4,137.45/6,206.16 = 1,797.15/x
  3. Step 3: Cross multiply
    4,137.45x = 6,206.16 × 1,797.15
  4. Step 4: Simplify right side
    4,137.45x = 11,153,430.46
  5. Step 5: Solve for x
    x = 11,153,430.46/4,137.45
  6. Step 6: Final answer
    x = 2,695.73

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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.